**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

**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.

(

**2128**views)

**Symplectic Geometry of Quantum Noise**

by

**Leonid Polterovich**-

**arXiv**

We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.

(

**6485**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.

(

**3786**views)

**Mathematical Methods in Quantum Mechanics**

by

**Gerald Teschl**-

**American Mathematical Society**

This is a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required.

(

**12780**views)