**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

**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...

(

**5109**views)

**Guide to Mathematical Concepts of Quantum Theory**

by

**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.

(

**7663**views)

**Mathematical Methods in Quantum Mechanics**

by

**Gerald Teschl**-

**American Mathematical Society**

This is a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required.

(

**11249**views)

**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.

(

**9229**views)