Applied Quantum Mechanics Classes

Oberlin College Physics 412

Fall 2020

This World Wide Web page written by Dan Styer, Oberlin College Department of Physics and Astronomy;
http://www.oberlin.edu/physics/dstyer/AppliedQM/classes.html;
last updated 16 October 2020; typo corrected 2 December 2021.


"Griffiths" means David J. Griffiths and Darrell F. Schroeter, Introduction to Quantum Mechanics third edition (Cambridge University Press, 2018, red-brown cover).

Class 1: Discussion of syllabus. Scaled variables for the quantal Coulomb problem.
(The Physics of QM, section 15.1.)
(Recording of class 1.)

Classes 2 and 3: Stark effect and stationary state perturbation theory.
(The Physics of QM, section 16.1.)
(Recording of class 2. Recording of class 3.)

Class 4: Variational method. Many-particle systems.
(The Physics of QM, section 15.2, section 14.1. Griffiths section 8.1.)
(Recording of class 4.)

Class 5: Identical particles including computer simulation "Ident". Mathematics of symmetrization and antisymmetrization.
(The Physics of QM, section 14.1. Griffiths section 5.1.)
(Recording.)

Class 6: Basis of symmertic and antisymmetric states. Hamiltonion for helium.
(The Physics of QM, section 14.2.)
(Recording.)

Class 7: Basis for two non-interacting electrons (singlets and triplets).
(The Physics of QM, section 14.2.)
(Recording.)

Class 8: Low and high precision variational calculations for helium's ground state.
(The Physics of QM, chapter 17. Griffiths sections 5.2.1 and 8.2.)
(Recording.)

Class 9: Addition of angular momenta.
(The Physics of QM, section 18.1. Griffiths section 4.4 (omit 4.4.2).)
(Recording.)

Class 10: Shielding; Hartree-Fock as a mean field theory; atomic ground states; Hund's rules; term symbols.
(The Physics of QM, sections 18.2 and 18.3. Griffiths section 5.2 on atoms.)
(Recording.)

Class 11: The hydrogen molecule ion.
(The Physics of QM, section 19.1. Griffiths section 8.3.)
(Recording.)

Class 12: Qualitative behavior of overlap, direct, and exchange integrals as a function of R. Why is the hydrogen molecule ion hard?
(The Physics of QM, section 19.1.2.)
(Recording.)

Class 13: The hydrogen molecule.
(The Physics of QM, sections 19.3 and 19.4.)
(I forgot to record.)

Class 14: The quasiclassical approximation.
(The Physics of QM, chapter 20. Griffiths chapter 9.)
(Recording.)

Class 15: The quasiclassical approximation for the power law potential.
(The Physics of QM, section 20.3.)
(Recording.)

Class 16: Perturbation theory for the time evolution problem. Sinusoidal driving. Fermi's golden rule.
(The Physics of QM, sections 21.1, 21.2, and 21.3. Griffiths chapter 11.)
(Recording.)

Class 17: What does Fermi's golden rule tell us about nature? Incoherent driving.
(The Physics of QM, sections 21.3 and 21.4.)
(Forgot to record.)

Class 18: Spontaneous emission. Qualitative quantum electrodynamics. Einstein A and B argument.
(The Physics of QM, section 21.5.)
(Forgot to record.)

Class 19: Sum over histories formulation.
(Notes.)
(Recording.)