**Quantum Theory, Groups and Representations: An Introduction**

by Peter Woit

**Publisher**: Columbia University 2014**Number of pages**: 396

**Description**:

These notes cover the basics of quantum mechanics, from a point of view emphasizing the role of unitary representations of Lie groups in the foundations of the subject. The approach to this material is simultaneously rather advanced, using crucially some fundamental mathematical structures normally only discussed in graduate mathematics courses, while at the same time trying to do this in as elementary terms as possible.

Download or read it online for free here:

**Download link**

(2.8MB, 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.

(

**7421**views)

**Quantization and Semiclassics**

by

**Max Lein**-

**arXiv**

This text is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. An application of Weyl calculus to Born-Oppenheimer systems is discussed.

(

**4902**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.

(

**7569**views)

**Numerical Methods in Quantum Mechanics**

by

**Paolo Giannozzi**-

**University of Udine**

The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

(

**4924**views)