**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

**Mathematical Foundations of Quantum Mechanics**

by

**Valter Moretti**-

**arXiv**

The author reviews the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas ...

(

**5580**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.

(

**4515**views)

**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.

(

**2135**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.

(

**2795**views)