Quantum Mechanics: A graduate course

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The forum discussion centers on a comprehensive set of lecture notes for a graduate-level quantum mechanics course, authored by Richard Fitzpatrick from the University of Texas. Key topics include fundamentals of quantum mechanics, angular momentum, perturbation theory, and scattering. The notes, which span approximately 150 pages, are based on lectures delivered to master's level students and are available for download. Additional resources and lecture notes related to quantum field theory and mathematical methods in quantum mechanics are also provided.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with angular momentum in quantum systems
  • Knowledge of perturbation theory applications
  • Basic concepts of scattering theory
NEXT STEPS
  • Download and study Richard Fitzpatrick's lecture notes on quantum mechanics
  • Explore David Tong's lectures on Quantum Field Theory
  • Review mathematical methods in quantum mechanics, focusing on Schrödinger operators
  • Investigate advanced topics in quantum mechanics, such as time-symmetry and Poisson deformations
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This discussion is beneficial for graduate students in physics, educators teaching quantum mechanics, and researchers seeking advanced insights into quantum field theory and mathematical methods in quantum mechanics.

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A complete set of lecture notes for a graduate quantum mechanics course. Topics covered include fundamentals of quantum mechanics, angular momentum, perturbation theory, and scattering.

by: Richard Fitzpatrick (University of Texas)
 

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David Tong: Lectures on Quantum Field Theory

These notes are based on an introductory course on quantum field theory, given to Part III (i.e. masters level) students in the fall of 2006 and 2007. They were also given at the Perimeter Institure PSI programme in 2009. The full set of lecture notes can be downloaded here. They come in at about 150 pages. Individual sections can be downloaded below. Please email me any typos or comments. Last updated June 2008.

http://www.damtp.cam.ac.uk/user/tong/qft.html

Blechman's notes have moved to http://www.pha.jhu.edu/~blechman/papers/mpri.pdf
 
Last edited by a moderator:
Some mathematical QM stuff-

Lecture Notes on C∗-Algebras, Hilbert C∗-modules, and Quantum Mechanics
http://arxiv.org/PS_cache/math-ph/pdf/9807/9807030v1.pdf

Poisson deformations:

http://www.ihes.fr/~maxim/TEXTS/Feynman diagrams and low-dimensional topology.pdf

http://www.ihes.fr/~maxim/TEXTS/Formality conjecture.pdf

Mathematical Methods in QM: With Applications to Shrodinger Operators:
http://www.mat.univie.ac.at/~gerald/ftp/book-schroe/

Lecture Notes on QM-Schulten(elementary)
http://www.ks.uiuc.edu/Services/Class/PHYS481/lecture.html

Advanced QM-Mickelsson, and another one by Teo
http://had.fmf.uni-lj.si/~horvat/physics/index.html

New Insights on Time-Symmetry in QM
http://arxiv.org/abs/0706.1232
 
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