**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

**An Introduction to Microlocal Analysis**

by

**Richard B. Melrose, Gunther Uhlmann**-

**MIT**

The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.

(

**4952**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.

(

**6786**views)

**Quantum Theory, Groups and Representations: An Introduction**

by

**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...

(

**4240**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.

(

**2850**views)