Quantum Mechanics: A graduate course

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The discussion centers on a comprehensive set of lecture notes for a graduate-level quantum mechanics course, covering key topics such as the fundamentals of quantum mechanics, angular momentum, perturbation theory, and scattering. The notes, authored by Richard Fitzpatrick from the University of Texas and David Tong, are based on lectures delivered to master's students and are available for download. Additional resources and notes on related subjects, including quantum field theory and mathematical methods in quantum mechanics, are also provided. The notes aim to serve as a valuable educational tool for students and researchers in the field. Overall, this compilation offers a thorough overview of essential quantum mechanics concepts.
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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
 
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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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