Suchergebnis: Katalogdaten im Herbstsemester 2024
Hochenergie-Physik MSc (Joint Master mit IP Paris)  | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| Theoretische Kernfächer | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| 402-0843-00L | Quantum Field Theory I Fachstudierende UZH müssen das Modul PHY551 direkt an der UZH buchen. | W | 10 KP | 4V + 2U | L. Senatore | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | This course discusses the quantisation of fields in order to introduce a coherent formalism for the combination of quantum mechanics and special relativity. Topics include: - Relativistic quantum mechanics - Quantisation of bosonic and fermionic fields - Interactions in perturbation theory - Scattering processes and decays - Elementary processes in QED - Radiative corrections | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The goal of this course is to provide a solid introduction to the formalism, the techniques, and important physical applications of quantum field theory. Furthermore it prepares students for the advanced course in quantum field theory (Quantum Field Theory II), and for work on research projects in theoretical physics, particle physics, and condensed-matter physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Will be provided as the course progresses | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| Experimentelle Kernfächer | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0891-00L | Phenomenology of Particle Physics I | W | 10 KP | 3V + 2U | P. Crivelli, A. de Cosa | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | The course focuses on the connection between particle physics theory and experimental results to provide a comprehensive modern view of the Standard Model. The covered topics are quantum electrodynamics (QED) and quantum chromodynamics (QCD). | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The students will deepen the knowledge on particle physics acquired during their bachelor studies. They will be able to apply the basics of relativistic quantum field theory (QFT) to derive the Feynman rules and to apply those to compute QED and QCD processes. They will be able to explain and discuss the connection between theory and experiments. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Topics to be covered in Phenomenology of Particle Physics I: • Relativistic kinematics • Decay rates and cross sections • Quantisation of Klein-Gordon (boson) and Dirac (fermion)’s fields • From the S-matrix to the Feynman rules of QED • Scattering processes in QED/QCD and running of alpha and alpha_s • Experimental tests of QED and QCD | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | As described in the entity: Lernmaterialien | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| Physikalische und mathematische Wahlfächer | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Wahlfächer in Physik | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0220-MSL | Extended Research Project  Diese Lerneinheit kann nur zusammen mit einem Research Project (402-0218-MS) belegt werden. Für die Optionen Proseminare, Particle Physics at PSI, Medical Physics und Experimental Foundations of Particle Physics ist diese Erweiterung nicht möglich. Die Erweiterung ist nur mit Zustimmung der betreuenden Professur belegbar. Die Erweiterung muss gleichzeitig mit dem Research Project belegt werden. | W | 4 KP | 8A | Betreuer/innen | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Extension of the Reseach Project | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Students are enabled to: • expand their knowledge in a specific area of physics, • conduct a project (a) in a research laboratory or (b) on a specific topic of theoretical physics, • discuss their project results and conclusions in a team, • present their findings in written and oral form. The extension allows for a more in-depth research experience. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0457-00L | Quantum Technologies for Searches of New Physics Findet dieses Semester nicht statt. | W | 6 KP | 2V + 1U | P. Crivelli | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Recent years have witnessed incredible progress in the development of new quantum technologies driven by their application in quantum information, metrology, high precision spectroscopy and quantum sensing. This course will present how these emerging technologies are powerful tools to address open questions of the Standard Model in a complementary way to what is done at the high energy frontier. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The aim of this course is to equip students of different backgrounds with a solid base to follow this rapidly developing and exciting multi-disciplinary field. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | The first lectures will be dedicated to review the open questions of the Standard Model and the different Beyond Standard Model extensions which can be probed with quantum technologies. This will include searches for dark sector, dark matter, axion and axion-like particles, new gauge bosons (e.g Dark photons) and extra short-range forces. The main part of the course will introduce the following (quantum) technologies and systems, and how they can be used for probing New Physics. - Cold atoms - Trapped ions - Atoms interferometry - Atomic clocks - Cold molecules and molecular clocks - Exotic Atoms - Anti-matter - Quantum Sensors | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | The preceding attendance of introductory particle physics, quantum mechanics and quantum electronics courses at the bachelor level is recommended. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0713-00L | Astro-Particle Physics I | W | 6 KP | 2V + 1U | A. Biland | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | This lecture gives an overview of the present research in the field of Astro-Particle Physics, including the different experimental techniques. In the first semester, main topics are the charged cosmic rays including the antimatter problem. The second semester focuses on the neutral components of the cosmic rays as well as on some aspects of Dark Matter. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Successful students know: - experimental methods to measure cosmic ray particles over full energy range - current knowledge about the composition of cosmic ray - possible cosmic acceleration mechanisms - correlation between astronomical object classes and cosmic accelerators - information about our galaxy and cosmology gained from observations of cosmic ray | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | First semester (Astro-Particle Physics I): - definition of 'Astro-Particle Physics' - important historical experiments - chemical composition of the cosmic rays - direct observations of cosmic rays - indirect observations of cosmic rays - 'extended air showers' and 'cosmic muons' - 'knee' and 'ankle' in the energy spectrum - the 'anti-matter problem' and the Big Bang - 'cosmic accelerators' | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | See lecture home page: http://ihp-lx2.ethz.ch/AstroTeilchen/ | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | See lecture home page: http://ihp-lx2.ethz.ch/AstroTeilchen/ | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0715-00L | Low Energy Particle Physics | W | 6 KP | 2V + 1U | A. S. Antognini, D. Ries | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Low energy particle physics provides complementary information to high energy physics with colliders. In this lecture, we will concentrate on flagship experiments which have significantly improved our understanding of particle physics today, concentrating mainly on precision experiments with neutrons, muons and exotic atoms. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | You will be able to present and discuss: - the principle of the experiments - the underlying technique and methods - the context and the impact of these experiments on particle physics | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Low energy particle physics provides complementary information to high energy physics with colliders. At the Large Hadron Collider one directly searches for new particles at energies up to the TeV range. In a complementary way, low energy particle physics indirectly probes the existence of such particles and provides constraints for "new physics", making use of high precision and high intensities. Besides the sensitivity to effects related with new physics (e.g. lepton flavor violation, symmetry violations, CPT tests, search for electric dipole moments, new low mass exchange bosons etc.), low energy physics provides the best test of QED (electron g-2), the best tests of bound-state QED (atomic physics and exotic atoms), precise determinations of fundamental constants, information about the CKM matrix, precise information on the weak and strong force even in the non-perturbative regime etc. Starting from a general introduction on high intensity/high precision particle physics and the main characteristics of muons and neutrons and their production, we will then focus on the discussion of fundamental problems and ground-breaking experiments: - search for rare decays and charged lepton flavor violation - electric dipole moments and CP violation - spectroscopy of exotic atoms and symmetries of the standard model - what atomic physics can do for particle physics and vice versa - neutron decay and primordial nucleosynthesis - atomic clock - Penning traps - Ramsey spectroscopy - Spin manipulation - neutron-matter interaction - ultra-cold neutron production - various techniques: detectors, cryogenics, particle beams, laser cooling.... | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Golub, Richardson & Lamoreaux: "Ultra-Cold Neutrons" Rauch & Werner: "Neutron Interferometry" Carlile & Willis: "Experimental Neutron Scattering" Byrne: "Neutrons, Nuclei and Matter" Klapdor-Kleingrothaus: "Non Accelerator Particle Physics" | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Einführung in die Kern- und Teilchenphysik / Introduction to Nuclear- and Particle-Physics | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0725-00L | Experimental Methods and Instruments of Particle Physics | W | 6 KP | 3V + 1U | M. Backhaus, D. Sgalaberna | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Introduction to particle sources and accelerators. Theory of particle interaction with matter and signal formation. Basics and concepts of particle detectors. Momentum reconstruction, calorimetry and particle identification techniques. Simulation methods, readout electronics, trigger and data acquisition. Examples of key experiments. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Acquire an in-depth understanding and overview of the essential elements of experimental methods in particle and astroparticle physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | 1. Examples of modern experiments 2. Introduction to particle sources and accelerators 3. Basics: Bethe-Bloch and physics of charged particle propagation in matter, interaction of photons with matter, hadronic interactions, signal formation 4. Detailed analysis of non-electronic, noble element, solid state, scintillator-based and Cherenkov particle detectors 5. Experimental techniques for particle tracking, calorimetry and identification 6. Monte Carlo simulations, trigger and data acquisition system readout | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Slides are handed out regularly | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | H.Kolanoski and N.Wermes, "Particle Detectors: Fundamentals and Applications". C.Grupen and B.Schwartz, "Particle Detectors". G.F.Knoll, "Radiation Detection and Measurements". | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0767-00L | Neutrino Physics | W | 6 KP | 2V + 1U | A. Rubbia, D. Sgalaberna | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Theoretical basis and selected experiments to determine the properties of neutrinos and their interactions (mass, spin, helicity, chirality, oscillations, charge-parity violation, interactions with leptons and quarks) and implications on physics beyond the Standard Model of elementary particles as well as on Cosmology. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Critically analyze and elaborate the neutrino production and detection techniques. Derive the theory of neutrino scattering and analyze its implications in neutrino experiments. Analyze the phenomenology of neutrino oscillations and its implication on the physics Beyond the Standard Model of particles. Derive the main concepts of the theory of neutrino masses within and beyond the Standard Model of particles and analyze the experimental techniques related to the measurement of the neutrino masses. Describe the role of neutrinos in Cosmology and make connections with current and future neutrino experiments. Review the experimental configurations and analyze the challenges in searches for leptonic Charge-Parity symmetry violation and the measurement of the neutrino mass hierarchy. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | 1. Introduction to Neutrinos and Neutrino Sources; 2. Neutrino Detectors 3. Neutrino Interactions 4. Neutrino Oscillations 5. Nature of Neutrino masses 6. Neutrinos in Cosmology 7. Search for leptonic Charge Parity violation and precision measurement of the neutrino oscillation probability | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | A. Rubbia, “Phenomenology of Particle Physics”, Cambridge University Press B. Kayser, F. Gibrat-Debu and F. Perrier, The Physics of Massive Neutrinos, World Scientific Lecture Notes in Physic, Vol. 25, 1989, and newer publications. N. Schmitz, Neutrinophysik, Teubner-Studienbücher Physik, 1997. D.O. Caldwell, Current Aspects of Neutrino Physics, Springer. C. Giunti & C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics, Oxford. K.Zuber, “Neutrino Physics” CRC Press 2020 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0777-00L | Particle Accelerator Physics and Modeling I | W | 6 KP | 2V + 1U | A. Adelmann | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | This is the first of two courses, introducing particle accelerators from a theoretical point of view and covers state-of-the-art modelling techniques. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | You obtain a theoretical understanding of the building blocks of particle accelerators. Modern numerical analysis tools allows you to model state-of-the-art particle accelerators. We will develop a Julia simulation tool (JuliAccel.jl) that reflects the theory from the lecture. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Here is the rough plan of the topics, however the actual pace may vary relative to this plan. - Recap of Relativistic Classical Mechanics and Electrodynamics - Building Blocks of Particle Accelerators - Lie Algebraic Structure of Classical Mechanics and Application to Particle Accelerators - Symplectic Maps & Analysis of Maps - Symplectic Particle Tracking - Collective Effects - Linear & Circular Accelerators | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Lecture notes | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Physics, Computational Science (RW) at MSc. Level In exceptional cases students at BSc level can attend. This lecture is also suited for PhD. students | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0836-16L | Quantum Simulations of Gauge Theories Findet dieses Semester nicht statt. | W | 6 KP | 2V + 1U | M. Krstic Marinkovic | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Divided into three parts, the course introduces various aspects of lattice quantum field theory (QFT), gauge symmetries, quantum simulators, and implementation schemes. Other than highlighting the strengths and weaknesses of the lattice formulation of QFTs suitable for Monte Carlo simulations, the course discusses practical realization of quantum simulators for gauge theories. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | After acquiring the foundations on lattice formulation of gauge theories, and challenges of conventional Monte Carlo simulation approaches, the students will learn about different strategies for quantum simulation of gauge theories and their implementation on digital and analog quantum devices. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | 1. Background and Motivation 1.1 From Quantum Field Theories to Lattice field theories; 1.2 Lattice Gauge Theories - Lagrangian formulation, gauge symmetries, observables; 1.3 Monte Carlo simulations, sign problems, and complex actions. 2. Road-map for Quantum Simulation of Gauge Theories 2.1 Hamiltonian formulation, Wilson’s formulation, and the infinite Hilbert spaces; 2.2 Finite Hilbert spaces: Z(N) gauge theories. Dualizing the Ising model and relation with the toric code; 2.3 Finite Hilbert spaces: Quantum link models for Abelian gauge theories; 2.4 Finite Hilbert spaces: Quantum link models for non-Abelian gauge theories; 2.5 Exploring the physics of gauge theories - phases, dynamics, and thermalization; 2.6 Exploring methods for gauge theories - exact diagonalization, tensor networks, Monte Carlo. 3. Quantum Simulation Approaches and Platforms 3.1 Digital vs. analog quantum simulations; 3.2 Proposals for simulations of gauge theories, realization, and perspectives. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Quantum chromodynamics on the lattice (Christof Gattringer, Christian B. Lang. Series Title: Lecture Notes in Physics. DOI: https://doi.org/10.1007/978-3-642-01850-3) From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories, U. J. Wiese | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0830-00L | General Relativity | W | 10 KP | 4V + 2U | R. Renner | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Introduction to the theory of general relativity. The course puts a strong focus on the mathematical foundations of the theory as well as the underlying physical principles and concepts. It covers selected applications, such as the Schwarzschild solution and gravitational waves. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Basic understanding of general relativity, its mathematical foundations (in particular the relevant aspects of differential geometry), and some of the phenomena it predicts (with a focus on black holes). | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Introduction to the theory of general relativity. The course puts a strong focus on the mathematical foundations, such as differentiable manifolds, the Riemannian and Lorentzian metric, connections, and curvature. It discusses the underlying physical principles, e.g., the equivalence principle, and concepts, such as curved spacetime and the energy-momentum tensor. The course covers some basic applications and special cases, including the Newtonian limit, post-Newtonian expansions, the Schwarzschild solution, light deflection, and gravitational waves. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Parts of the lecture are based on the book "General Relativity" by R. Wald. Other suggested textbooks: “Gravitation" by C. Misner, K, Thorne and J. Wheeler "Spacetime and Geometry: An Introduction to General Relativity” by S. Carroll "Gravitation and Cosmology" by S. Weinberg | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0845-61L | Effective Field Theories for Particle Physics Fachstudierende UZH müssen das Modul PHY578 direkt an der UZH buchen. | W | 6 KP | 2V + 1U | A. Signer | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | The focus of the course is on effective field theories (EFT) in the context of particle physics. EFTs provide a framework to systematically disentangle effects due to different scales. This will be discussed both in general terms and with specific phenomenological applications in mind. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | We will start by introducing the core ideas of constructing EFTs and consider cases where the effect of heavy particles or large-scale modes are integrated out. Concepts like decoupling and matching as well as applications of the method of regions and the renormalisation group will be covered. In the second part of the course several concrete examples of EFTs are presented. They allow for a consistent description of a wide variety of physical systems, from bound states with heavy quarks, jets in collider physics, non-perturbative strong interaction at low energies, to effects of heavy physics beyond the Standard Model. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | - Introduction to EFTs - Decoupling and matching - Renormalisation group resummation - Examples of EFTs: - Heavy Quark Effective Theory (HQET) - Non-Relativistic QCD and QED (NRQCD and NRQED) - Soft-Collinear Effective Theory (SCET) - Standard Model and Low Energy Effective Theory (SMEFT and LEFT) - Chiral Perturbation Theory | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | QFT-I (mandatory) and QFT-II (highly recommended) | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0851-00L | QCD: Theory and Experiment Findet dieses Semester nicht statt. Fachstudierende UZH müssen das Modul PHY561 direkt an der UZH buchen. | W | 3 KP | 3G | A. Gehrmann-De Ridder, R. Wallny | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | An introduction to the theoretical aspects and experimental tests of QCD, with emphasis on perturbative QCD and related experiments at colliders. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Knowledge acquired on basics of perturbative QCD, both of theoretical and experimental nature. Ability to perform simple calculations of perturbative QCD, as well as to understand modern publications on theoretical and experimental aspects of perturbative QCD. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | QCD Lagrangian and Feynman Rules QCD running coupling Parton model DGLAP Basic processes Experimental tests at lepton and hadron colliders Measurements of the strong coupling constant | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | 1) G. Dissertori, I. Knowles, M. Schmelling : "Quantum Chromodynamics: High Energy Experiments and Theory" (The International Series of Monographs on Physics, 115, Oxford University Press) 2) R. K. Ellis, W. J. Stirling, B. R. Webber : "QCD and Collider Physics" (Cambridge Monographs on Particle Physics, Nuclear Physics & Cosmology)" | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Will be given as block course, language: English. For students of both ETH and University of Zurich. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0870-00L | Introduction to Quantum Electrodynamics | W | 6 KP | 2V + 1U | A. Lazopoulos | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | This course provides a pedagogical introduction to Quantum Electrodynamics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Students will be introduced to the theory of Quantum Electrodynamics, and the use of Feynman diagrams to arrive at theoretical predictions for phenomena related to the interaction of light and matter. The course is designed to complement Quantum Field Theory I for those students with a special interest in theoretical elementary particle physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | The course will cover - an introduction to QED as the quantum theory of interactions of light and matter. - Feynman rules for QED - Amplitudes and cross sections for simple processes in QED - Gauge invariance and the Ward identity - Ultraviolet singularities and Renormalization - Infrared singularities and their cancelation - The Ueling potential and the Lamb shift - Anomalous magnetic moments | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Will be provided at the Moodle site for the course. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Will be provided at the Moodle site for the course. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0883-63L | Symmetries in Physics | W | 6 KP | 3G | G. M. Graf | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | The course gives an introduction to symmetry groups in physics. It explains the relevant mathematical background (finite groups, Lie groups and algebras as well as their representations), and illustrates their important role across modern physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The aim of the course is to give a self-contained introduction into finite group theory as well as Lie theory from a physicists point of view. Abstract mathematical constructions will be illustrated with examples from physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Finite group theory, including representation theory and character methods; applications to crystallography and solid state physics. The symmetric group and the structure of its representations; applications to identical particles. Clifford algebras; application to relativistic wave equations equations. Simple Lie algebras and their finite-dimensional representations. Description of representations of SU(N) in terms of Young diagrams; applications in particle physics. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0886-00L | QCD and Scattering Amplitudes Fachstudierende UZH müssen das Modul PHY564 direkt an der UZH buchen. | W | 6 KP | 2V + 1U | A. Gehrmann-De Ridder | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | The course presents the quantum field theory of the strong interaction (quantum chromodynamics, QCD) and discusses its applications to particle physics observables. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | The course aims to familiarize the students with the concepts and applications of QCD and to introduce them to modern techniques for computations in QCD. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Content: * Review of non-Abelian gauge theories * Renormalization of QCD and running coupling constant * Jet observables in e^+e^- annihilation * QCD at lepton-proton colliders * Multiparticle production * Spinor-helicity formalism * Perturbation theory techniques: loops and phase space | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | The course assumes prior knowledge of the content of the quantum field theory 1+2 lectures. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 402-0897-00L | Introduction to String Theory | W | 6 KP | 2V + 1U | J. Brödel | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | String theory is an attempt to quantise gravity and unite it with the other fundamental forces of nature. It is related to numerous interesting topics and questions in quantum field theory. In this course, an introduction to the basics of string theory is provided. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Within this course, a basic understanding and overview of the concepts and notions employed in string theory shall be given. More advanced topics will be touched upon towards the end of the course briefly in order to foster further research. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | - mechanics of point particles and extended objects - string modes and their quantisation; higher dimensions, supersymmetry - critical dimension and no-ghost theorem - D-branes, T-duality - two-dimensional conformal field theories | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | B. Zwiebach, A First Course in String Theory, CUP (2004). D. Lust, S. Theisen, Lectures on String Theory, Lecture Notes in Physics, Springer (1989). M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory I, CUP (1987). J. Polchinski, String Theory I & II, CUP (1998). | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Recommended: Quantum Field Theory I (in parallel) | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| Wahlfächer in Mathematik | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 401-3531-00L | Differential Geometry I Höchstens eines der drei Bachelor-Kernfächer 401-3461-00L Funktionalanalysis I / Functional Analysis I 401-3531-00L Differentialgeometrie I / Differential Geometry I 401-3601-00L Wahrscheinlichkeitstheorie / Probability Theory ist im Master-Studiengang Mathematik anrechenbar. Die Kategoriezuordnung können Sie in diesem Fall nicht selber in myStudies vornehmen, sondern Sie müssen sich dazu nach dem Verfügen des Prüfungsresultates an das Studiensekretariat (www.math.ethz.ch/studiensekretariat) wenden. | W | 9 KP | 4V + 1U | U. Lang | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Introduction to differential geometry and differential topology. Contents: Curves, (hyper-)surfaces in R^n, geodesics, curvature, Theorema Egregium, Theorem of Gauss-Bonnet. Hyperbolic space. Differentiable manifolds, immersions and embeddings, Sard's Theorem, mapping degree and intersection number, vector bundles, vector fields and flows, differential forms, Stokes' Theorem. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Learn the basic concepts and results in differential geometry and differential topology. Learn to describe, compute, and solve problems in the language of differential geometry. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Inhalt | Curves, (hyper-)surfaces in R^n, first and second fundamental forms, geodesics, curvature, Theorema Egregium, Theorem of Gauss-Bonnet, minimal surfaces. Hyperbolic space. Differentiable manifolds, immersions and embeddings, Sard's Theorem, mapping degree and intersection number, vector bundles, vector fields and flows, differential forms, Stokes' Theorem. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Skript | Partial lecture notes are available from https://people.math.ethz.ch/~lang/ | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Differential geometry in R^n: - Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces - S. Montiel, A. Ros: Curves and Surfaces - Wolfgang Kühnel: Differentialgeometrie. Kurven-Flächen-Mannigfaltigkeiten - Christian Bär: Elementare Differentialgeometrie Differential topology: - Dennis Barden & Charles Thomas: An Introduction to Differential Manifolds - Victor Guillemin & Alan Pollack: Differential Topology - Morris W. Hirsch: Differential Topology - John M. Lee: Introduction to Smooth Manifolds | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| 401-3461-00L | Functional Analysis I Höchstens eines der drei Bachelor-Kernfächer 401-3461-00L Funktionalanalysis I / Functional Analysis I 401-3531-00L Differentialgeometrie I / Differential Geometry I 401-3601-00L Wahrscheinlichkeitstheorie / Probability Theory ist im Master-Studiengang Mathematik anrechenbar. Die Kategoriezuordnung können Sie in diesem Fall nicht selber in myStudies vornehmen, sondern Sie müssen sich dazu nach dem Verfügen des Prüfungsresultates an das Studiensekretariat (www.math.ethz.ch/studiensekretariat) wenden. | W | 9 KP | 4V + 1U | M. Burger | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Baire category; Banach and Hilbert spaces, bounded linear operators; basic principles: Uniform boundedness, open mapping/closed graph theorem, Hahn-Banach; convexity; dual spaces; weak and weak* topologies; Banach-Alaoglu; reflexive spaces; compact operators and Fredholm theory; closed graph theorem; spectral theory of self-adjoint operators in Hilbert spaces. Basics of Sobolev spaces. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Acquire a good degree of fluency with the fundamental concepts and tools belonging to the realm of linear Functional Analysis, with special emphasis on the geometric structure of Banach and Hilbert spaces, and on the basic properties of linear maps. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Literatur | Recommended references include the following: Michael Struwe: "Funktionalanalysis I" (Skript available at https://people.math.ethz.ch/~struwe/Skripten/FA-I-2019.pdf) Haim Brezis: "Functional analysis, Sobolev spaces and partial differential equations". Springer, 2011. Peter D. Lax: "Functional analysis". Pure and Applied Mathematics (New York). Wiley-Interscience [John Wiley & Sons], New York, 2002. Elias M. Stein and Rami Shakarchi: "Functional analysis" (volume 4 of Princeton Lectures in Analysis). Princeton University Press, Princeton, NJ, 2011. Manfred Einsiedler and Thomas Ward: "Functional Analysis, Spectral Theory, and Applications", Graduate Text in Mathematics 276. Springer, 2017. Walter Rudin: "Functional analysis". International Series in Pure and Applied Mathematics. McGraw-Hill, Inc., New York, second edition, 1991. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Solid background on the content of all Mathematics courses of the first two years of the undergraduate curriculum at ETH.Most importantly: fluency with point set topology and measure theory, in part. Lebesgue integration and L^p spaces. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kompetenzen |
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| Proseminare und Semesterarbeiten Detaillierte Informationen auf: https://www.phys.ethz.ch/studies/master/semester-projects.html | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 402-0218-MSL | Research Project | W | 8 KP | 15A | Betreuer/innen | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Kurzbeschreibung | Students conduct a small research project within a research group or carry out a guided self-study of original papers on a given theoretical topic. The results are submitted in a written report and an oral presentation. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Lernziel | Students are enabled to: • expand their knowledge in a specific area of physics, • conduct a project (a) in a research laboratory or (b) on a specific topic of theoretical physics, • discuss their project results and conclusions in a team, • present their findings in written and oral form. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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