**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

**A Short Introduction to the Quantum Formalism**

by

**Francois David**-

**arXiv**

These notes present an introductory, but hopefully coherent, view of the main formalizations of quantum mechanics, of their interrelations and of their common physical underpinnings: causality, reversibility and locality/separability.

(

**8263**views)

**Lectures on Quantum Mechanics for Mathematicians**

by

**Alexander Komech**-

**arXiv.org**

The main goal of these lectures is introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary orbits ...

(

**4203**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.

(

**11292**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.

(

**9922**views)