**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

**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.

(

**804**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.

(

**8203**views)

**A Short Introduction to the Quantum Formalism**

by

**Francois David**-

**arXiv**

These notes present an introductory, but hopefully coherent, view of the main formalizations of quantum mechanics, of their interrelations and of their common physical underpinnings: causality, reversibility and locality/separability.

(

**4057**views)

**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.

(

**6624**views)