**Guide to Mathematical Concepts of Quantum Theory**

by Teiko Heinosaari, Mario Ziman

**Publisher**: arXiv 2008**Number of pages**: 188

**Description**:

Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper the authors introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## 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.

(

**8134**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.

(

**4935**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.

(

**2668**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.

(

**1302**views)