Mathematical Tools of Quantum Mechanics
by Gianfausto Dell'Antonio
Publisher: Sissa, Trieste 2012
Description:
The author gives a presentation which, while preserving mathematical rigor, insists on the conceptual aspects and on the unity of Quantum Mechanics. The theory which is presented here is Quantum Mechanics as formulated in its essential parts on one hand by de Broglie and Schroedinger and on the other by Born, Heisenberg and Jordan with important contributions by Dirac and Pauli.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Homological Tools for the Quantum Mechanicby Tom Mainiero - arXiv.org
This paper is an introduction to work motivated by the question 'can multipartite entanglement be detected by homological algebra?' We introduce cochain complexes associated to multipartite density states whose cohomology detects factorizability.
(6004 views)
Guide to Mathematical Concepts of Quantum Theoryby Teiko Heinosaari, Mario Ziman - arXiv
In this text the authors introduce the quantum theory understood as a mathematical model describing quantum experiments. This is a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
(14660 views)
Mathematical Concepts of Quantum Mechanicsby S. Gustafson, I.M. Sigal - University of Toronto
These lectures cover a one term course taken by a mixed group of students specializing either in mathematics or physics. We illustrate an interplay of ideas from various fields of mathematics, such as operator theory, differential equations, etc.
(8867 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.
(15752 views)