**An Introduction to Microlocal Analysis**

by Richard B. Melrose, Gunther Uhlmann

**Publisher**: MIT 2008**Number of pages**: 182

**Description**:

One of the origins of scattering theory is the study of quantum mechanical systems, generally involving potentials. The scattering theory for perturbations of the flat Laplacian is discussed with the initial approach being via the solution of the Cauchy problem for the corresponding perturbed wave equation.

Download or read it online for free here:

**Download link**

(820KB, PDF)

## Similar books

**Using Mathematica for Quantum Mechanics: A Student's Manual**

by

**Roman Schmied**-

**arXiv.org**

This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.

(

**2548**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.

(

**9651**views)

**A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics**

by

**Jan Govaerts**-

**arXiv**

A basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantization.

(

**11645**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.

(

**11415**views)