**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

**Geometry of Quantum Mechanics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**

These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.

(

**11343**views)

**Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics**

by

**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.

(

**9800**views)

**Mathematical Concepts of Quantum Mechanics**

by

**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.

(

**4129**views)

**Homological Tools for the Quantum Mechanic**

by

**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.

(

**1825**views)