Quantization is a Mystery
by Ivan Todorov
Publisher: arXiv 2012
Number of pages: 51
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics).
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by Hendrik van Hees - Frankfurt Institute of Advanced Studies
The following manuscript aims at an introduction to modern methods in relativistic quantum many-body theory. We introduce many-body techniques, using relativistic quantum field theory, emphasizing the so-called real-time formulation.
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An interesting topic of quantum mechanics is the study of open quantum systems. By it, we mean a simple quantum system, described by one or a few degrees of freedom, interacting with a background characterized by a continuum of excitations.
by Charles G. Torre - Utah State University
This text will survey the foundations of quantum mechanics, basic techniques for its application to the real world, and a number of standard examples. It is assumed that you have already had a previous undergraduate course in quantum mechanics.
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The complete set of graduate Quantum Mechanics notes: Postulates of QM; Simple Problems in 1 Dimension; Wave Packets; Harmonic Oscillator and Second Quantization; Systems with N Degrees of Freedom; Classical Limit and WKB Approximation; Symmetries.