**Mathematical Concepts of Quantum Mechanics**

by S. Gustafson, I.M. Sigal

**Publisher**: University of Toronto 2001**Number of pages**: 185

**Description**:

These lectures cover a one term course taken by a mixed group of students specializing either in mathematics or physics. We decided to select material which illustrates an interplay of ideas from various fields of mathematics, such as operator theory, probability, differential equations, and differential geometry.

Download or read it online for free here:

**Download link**

(2.3MB, PDF)

## Similar books

**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.

(

**7194**views)

**Mathematical Tools of Quantum Mechanics**

by

**Gianfausto Dell'Antonio**-

**Sissa, Trieste**

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.

(

**5006**views)

**Numerical Methods in Quantum Mechanics**

by

**Paolo Giannozzi**-

**University of Udine**

The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

(

**3149**views)

**Symplectic Geometry of Quantum Noise**

by

**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.

(

**4657**views)