Universität Potsdam
Institut für Physik
Karl-Liebknecht-Str. 24/25
14476 Potsdam-Golm
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Lehrveranstaltungen | ||
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Wintersemester 2019/20 | |
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Quantenmechanik II | |
Höhere Theoretische Physik - Quantenmechanik II
Dozent: Carsten Henkel
Die Vorlesung ist 3-stündig:
- Dienstag, 16.15 - 17.45, in Raum 2.28.0.108
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Freitag, 14.15 - 15.45, in Raum 2.28.0.108
(14-tägig im Wechsel mit der Übung)
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Freitag, 14.15 - 15.45, in Raum 2.28.0.108
(14-tägig im Wechsel mit der Vorlesung)
Übungsleiter: Timo Felbinger
- zwischen 07.02. und 31.03, bitte Termin vereinbaren.
- Liste mit Fragen
Übungsblätter zur Vorlesung:
- Blatt 1 (.pdf)
- Blatt 2 (.pdf)
- Blatt 3 (.pdf)
Python script for integrals and plotting. - Blatt 4 (.pdf)
Python script for solving the Hartree-Fock equations in the Helium ground state.
List of hydrogen wave function.
Numerical data for the Helium ground state. Both taken from H. A. Bethe & E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Dover 2008). - Blatt 5 (.pdf)
- Blatt 6 (.pdf)
- Blatt 7 (.pdf)
Skripte und Handouts:
m-Body Physics: Fermions and Bosons- Variational formulation of Hartree-Fock theory (pwd protected)
- Stoner-Wohlfarth model of ferromagnetism (pwd protected)
- Lecture Notes Fri 2018 Nov 15 on paired states (BCS theory and interacting BEC)
- Kap. 18 aus Cohen-Tannoudji, Diu, Laloe, "Quantenmechanik III" über die Kanonische Quantisierung des elektromagnetischen Felds (pwd protected)
- "Anti-Photon" by W. E. Lamb (pwd protected)
- Lecture Notes on the Dirac Equation and Relativistic Quantum Mechanics (updated 19 Dec 2019)
Calendar and Topics
| Keywords | |
|---|---|
| Tue 15 Oct | Overview,
Formulas, Basics of many-body quantum systems
Board 1 Board 2 Board 3 |
| Fri 18 Oct | Construction of
field operators: observables, state space
Board 1 Board 2 Board 3 Board 4 |
| Tue 22 Oct | The Fock space of
many-body systems: bosons and fermions.
Board 1 Board 2 Board 3 Board 4 |
| Fri 25 Oct | (Ü) with Timo Felbinger |
| Tue 29 Oct | Ideal Fermi gas:
momentum integrals, chemical potential. Hartree-Fock theory.
Board 1 Board 2 Board 3 |
| Tue 05 Nov | Hartree-Fock theory:
variational many-body density operator, mean-field potential,
thermodynamic grand potential, Fermi-Dirac occupation number.
Board 1 Board 2 Board 3 Board 4 |
| Fri 08 Nov | (Ü) with Timo Felbinger |
| Tue 12 Nov | Hartree-Fock theory:
self-consistent eigenvalue problem. Ground state energy.
Example: Helium atom.
Board 1 Board 2 Board 3 |
| Fri 15 Nov | Paired particle states:
BCS theory of Cooper pairs, interacting Bose-Einstein condensate.
Quasi-particle concept. Representation of interaction energy
in k-space. Unitary (Bogoliubov/Valatin) transformation of the
field operators. Lecture Notes |
| Tue 19 Nov | Field quantisation:
free electromagnetic field, photons.
Board 1 Board 2 Board 3 |
| Fri 22 Nov | (Ü) with Timo Felbinger |
| Tue 26 Nov | Interacting
fields: time-dependent perturbation theory, Fermi's Golden
Rule, interaction Hamiltonian from electromagnetic Lagrangian
Board 1 Board 2 Board 3 Board 4 |
| Fri 29 Nov | Photon-Electron
Interactions: absorption, Franck-Hertz scattering, spontaenous
decay
Board 1 Board 2 Board 3 |
| Tue 03 Dec | Relativistic Quantum Mechanics: coordinate transformations, scalar and vector fields. Board 1 Board 2 Board 3 Board 4 |
| Fri 06 Dec | (Ü) with Timo Felbinger |
| Tue 10 Dec | Dirac equation: general symmetry properties,
representations of the Lorentz group, covariant
quantities: current density, scalar density
Board 1 Board 2 Board 3 Board 4 |
| Tue 17 Dec | Dirac equation: standard form of gamma matrices,
upper and lower spinors, spin-up and spin-down solutions
for electron and positron.
Anomalous spin magnetic moment, Hydrogen spectrum.
Board 1 Board 2 Board 3 |
| Fri 20 Dec | (Ü) with Timo Felbinger |
| Tue 07 Jan | Summary Relativistic Quantum Mechanics
Introduction to the Particle Zoo Board 1 Board 2 Board 3 Board 4 |
| Fri 10 Jan | The Periodic Table of Elementary Particles and Fundamental Interactions
Board 1 Board 2 Board 3 Board 4 |
| Tue 14 Jan | Concepts of Nuclear Shell Theory: confinement potential and
single-particle levels, magic numbers
Material from the Web |
| Fri 17 Dec | (Ü) with Timo Felbinger |
| Tue 21 Jan | Fundamental interactions: gauge groups U(1), SU(2), SU(3) |
| Fr 24 Jan | Feynman diagrams: perturbation theory, interaction Hamiltonians
in gauge theories. Electroweak interaction: coupling of left-handed
leptons and quarks to vector bosons
Board 1 Board 2 Board 3 Board 4 |
| Tue 28 Jan | Electroweak symmetry breaking: Lagrangian of the
Salam-Weinberg model.
Board 1 Board 2 Board 3 |
| Fri 31 Jan | (Ü) with Timo Felbinger |
| Tue 04 Feb | Electroweak symmetry breaking: Higgs mechanism.
See Slides by D. Bettoni (Univ Ferrara) |
| Fri 07 Feb | Strong interactions. Wrapping it up. |
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