Quantization and Semiclassics
Mathematical Physics
2010-09-03 v1 math.MP
Quantum Physics
Abstract
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. Chapter 2 gives a quick overview of classical and quantum mechanics on R^d. Some mathematical preliminaries concerning Hilbert space theory, operator theory and tempered distributions are detailed in Chapters 3-5. Weyl quantization and semiclassics are the content of Chapters 6 and 7. Finally, an application of Weyl calculus to Born-Oppenheimer systems is discussed in Chapter 8.
Cite
@article{arxiv.1009.0444,
title = {Quantization and Semiclassics},
author = {Max Lein},
journal= {arXiv preprint arXiv:1009.0444},
year = {2010}
}
Comments
lecture notes from course held at Technische Universit\"at M\"unchen in winter 2009/2010, 139 pages