Horst Knörrer: Catalogue data in Spring Semester 2018

Name Prof. em. Dr. Horst Knörrer
FieldMathematik
Consultation hoursBy appointment
Address
Dep. Mathematik
ETH Zürich, HG J 58
Rämistrasse 101
8092 Zürich
SWITZERLAND
Award: The Golden Owl
Telephone+41 44 632 34 22
Fax+41 44 632 10 85
E-mailhorst.knoerrer@math.ethz.ch
URLhttp://www.math.ethz.ch/~khorst
DepartmentMathematics
RelationshipProfessor emeritus

NumberTitleECTSHoursLecturers
401-1001-57LKepler Problem Information 2 credits2VH. Knörrer
AbstractThe Keplerproblem is the problem of the motion of a point mass in the gravitational field of another point mass. We shall discuss various approaches to this problem, in classical, in quantum mechanics and in relativity.
ObjectiveUnderstanding of techniques for the solution and symmetries of classical physical problems.
ContentVarious derivations of the Kepler laws from Newton's laws. Anomalies and the Kepler equation. Hamiltonian formalism and integrable Hamiltonian systems. Symmetries and geometric regularizations of the Kepler problem. The hydrogen atom in quantum mechanics. The Schwarzschild metric
LiteratureV.I.Arnold: Mathematical Methods of Classical Mechanics. Springer Verlag
B.Cordani: The Kepler Problem. Birkh\"auser Verlag 2003
R.Cushman, L.Bates: Global Aspects of Classical Integrable Systems. Birkhäuser Verlag 1997
D.Goodstein, J.Goodstein: Feynman's Lost Lecture. Random House 1996
J.Milnor: On the Geometry of the Kepler problem. American Mathematical Monthly {\bf 90}, 353-365 (1983)
M.Valtonen, H.Karttunen: The Three Body Problem. Cambridge University Press 2006
L.Landau, E.Lifschitz: Quantenmechanik
N.Woodhause: General Relativity. Springer Verlag 2007
401-5330-00LTalks in Mathematical Physics Information 0 credits1KA. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, H. Knörrer, T. H. Willwacher, University lecturers
AbstractResearch colloquium
Objective
ContentForschungsseminar mit wechselnden Themen aus dem Gebiet der mathematischen Physik.