A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics
by Jan Govaerts
Publisher: arXiv 2008
Number of pages: 79
Description:
These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantization in contrast to more standard treatments of such issues, while also bridging towards the path integral formulation of quantization.
Download or read it online for free here:
Download link
(830KB, PDF)
Similar books
Quantization and Semiclassicsby Max Lein - arXiv
This text 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.
(7442 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...
(9040 views)
Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsby N.P. Landsman - arXiv
A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.
(12971 views)
Lectures on Quantum Mechanics for Mathematiciansby Alexander Komech - arXiv.org
The main goal of these lectures is introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary orbits ...
(3907 views)