Quantization and Semiclassics
by Max Lein
Publisher: arXiv 2010
Number of pages: 145
Description:
This course is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. An application of Weyl calculus to Born-Oppenheimer systems is discussed.
Download or read it online for free here:
Download link
(2.1MB, PDF)
Similar books
Using Mathematica for Quantum Mechanics: A Student's Manualby Roman Schmied - arXiv.org
This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.
(6982 views)
Symplectic Geometry of Quantum Noiseby Leonid Polterovich - arXiv
We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.
(11811 views)
Uncertainty and Exclusion Principles in Quantum Mechanicsby Douglas Lundholm - arXiv.org
These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics.
(6687 views)
Quantum Theory, Groups and Representations: An Introductionby Peter Woit - Columbia University
These notes cover the basics of quantum mechanics, from a point of view emphasizing the role of unitary representations of Lie groups in the foundations of the subject. The approach to this material is simultaneously rather advanced...
(11288 views)