Master, Adv. TC (TCA) Winter Term:
»Quantum Mechanics, Approximation Theory, and Many-Body Objects«

  • Lecturer: Michael Hanrath
  • Assistant: Ilyas Türkmen

Location & Dates, Winter Term 2021/22

Lecture: Monday, 12:00-13:30, HS III
Friday, 11:00-11:45, HS III
Exercise: Friday, 10:00-10:45 Uhr, HS III
Start: first week of lecture period, Monday, 11th October 2021
Until further notice the courses will take place in the lecture room (not online).
Important: Please have your G3-Certificates ready when entering the lecture room. If you are not vaccinated or have not recovered from a covid infection I will have to check your test certificate every time you enter...

Lecture Contents:

  1. Quantum mechanics I: experiments
    1. spin sorting machine, double slit
    2. fail of classical physics
  2. Linear algebra
    1. group, field, linear space, scalar product, function space
    2. (vector) representations, approximations, Fourier transformation
    3. operators, operator representations
    4. eigen basis, eigenfunction approximation, variance
    5. matrices and operators
    6. linear transformations: mirror, rotation, scale, shere, SO(3), O(3)
  3. Quantum mechanics II: mathematical description
    1. postulates, time propagation (Schrödinger equation)
    2. measurement projection, eigenfunction expansion, expectation value
    3. spin, SU(2)
  4. Many body systems
    1. particle types, product ansatz, anti-symmetry
    2. configuration interaction (CI), Hartree-Fock (HF)
    3. 1- and 2-density(matrices)
    4. density functional theory

Please note that the lecture contents of TCA in winter and summer terms differ. The winter term’s subjects are more fundamental and basic.

If you are free (of scheduling issues) to choose I recommend attending the winter term’s lecture. However, the summer term’s lecture is self contained and may be attended independently. Both lectures are (offline) mostly black board type lectures. In the winter semester there is also a number of computer animated illustrations.

In any case you should have a theoretical interest and no reservations about math...

Many students before attended one term as TCA and the other as S-module.

See also: TCA in the summer term