### Mathematical Physics (Summer Semester 2013)

- Lecturer: Prof. Dr. Dirk Hundertmark
- Classes: Lecture (0163700), Problem class (0163800)
- Weekly hours: 4+2

On Monday, July 22, we will meet at 5 p.m. in front of the Allianz buildung to go to the Biergarten.

Schedule | |||
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Lecture: | Monday 9:45-11:15 | Hertz-Hörsaal | |

Tuesday 15:45-17:15 | Nusselt-Hörsaal | ||

Problem class: | Thursday 14:00-15:30 | Neuer Hörsaal | Begin: 16.4.2013 |

Lecturers | ||
---|---|---|

Lecturer | Prof. Dr. Dirk Hundertmark | |

Office hours: | ||

Room 2.028 Kollegiengebäude Mathematik (20.30) | ||

Email: dirk.hundertmark@kit.edu | ||

Problem classes | Dr. Hans-Jürgen Freisinger | |

Office hours: Montag, 12.30 - 13.30 Uhr | ||

Room 212 IWRMM (20.52) | ||

Email: hans-juergen.freisinger@kit.edu |

## Contents

This lecture is aimed at students of Physics, Mathematics and (Theoretical) Chemistry who want to get an insight in the mathematical foundation of Quantum Mechanics. Understanding Quantum Mechanics is an ambitious goal since even Feynman said that "no-one really understands Quantum Mechanics".

So we will focus on a mathematical understanding of Quantum Mechanics which will nevertheless help to avoid the pitfalls one often encounters in Quantum Mechanics courses and which are usually dismissed by vigorous hand-waving or by claiming that the solutions wich 'do not look right' are 'unphysical'.

As time permits, we intend to cover the following topics:

- time evolution (basics of Hilbert spaces and self-adjoint operators),
- bound states and variational methods,
- the Coulomb potential (stability of hydrogen, many-body Coulomb problems, stability of matter),
- some basics of scattering theory.

We wil develop the mathematical foundations in the lectures.

**Prerequisits:**

Good knowledge of analysis and linear algebra. Knowledge of the theory of partial differential equations, functional analysis and spectral theory is helpful