**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

**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.

(

**5283**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.

(

**5728**views)

**Uncertainty and Exclusion Principles in Quantum Mechanics**

by

**Douglas Lundholm**-

**arXiv.org**

These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics.

(

**632**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.

(

**8947**views)