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402-0205-00L 10 Credits
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Quantum Mechanics I

Quantenmechanik I

Lecturers & Examiners: Prof. em. Dr. Gianni Blatter
VVZ CR n/a

Last Updated: 2026-02-05 14:59:47

Objective

Introduction to single-particle quantum mechanics. Familiarity with basic ideas and concepts (quantization, pathintegrals, operatorformalism, Dirac-notation, symmetries, perturbation theory) and generic examples and applications (bound states, tunneling, scattering states, in one- and three-dimensional settings). Ability to solve simple problems.

Content

Starting from Feynman's path-integral formulation, we develop the operator technique and introduce Dirac's notation. Quantum phenomena are developed by way of example for one-dimensional single particle problems (bound states, tunneling, scattering problems, resonances, periodic and disordered potentials). We introduce rotations and angular momenta and proceed with central symmetric problems, three dimensional scattering theory, spin, and the addition of angular momenta/spin. Various pictures (Schrödinger-, Heisenberg-, Dirac-) are explained and approximative methods such as variational techniques, perturbation theory, and quasi-classical formalism are introduced. Keywords: Pathintegrals, Schrödinger equation, Formalism of quantum mechanics: Hilbertspaces, states, operators, commutators, basis systems and their transformations, measuring process, Diroc notation, Transfer matrix formalism for one-dimensional problems, Symmetries: translations, rotations and angular momenta, Central symmetric problems in three dimensions, Scattering theory, Formalism of quantum mechanics: Density matrices, Schrödinger-, Heisenberg-, Dirac-pictures, time reversal, Approximate methods: Perturbation theory, variational techniques, quasi-classical approximations, Spin, Addition of angular momenta.

Resources

Lecture Notes

in german, will be made electronically available (2006).

General Information

Language
German
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 15 minutes

Course Components

Type Title Time & Place Hours
lecture Quantenmechanik I
  • Tue 13:45-15:30 (HPV G 4)
  • Thu 10:45-11:30 (HPV G 4)
3 h weekly
exercise Quantenmechanik I
  • Thu 14:45-16:30 (HCI D 4)
  • Thu 14:45-16:30 (HPP H 2)
  • Thu 14:45-16:30 (HPP H 6)
  • Thu 14:45-16:30 (HPV G 4)
  • Thu 14:45-16:30 (HPV G 5)
2 h weekly

Offered In