**Classical and Quantum Mechanics via Lie algebras**

by Arnold Neumaier, Dennis Westra

**Publisher**: arXiv 2011**Number of pages**: 503

**Description**:

The goal of this book is to present classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups. The book emphasizes the closeness of classical and quantum mechanics, and the material is selected in a way to make this closeness as apparent as possible.

Download or read it online for free here:

**Download link**

(2.4MB, PDF)

## Similar books

**Step-by-Step BS to PhD Math/Physics**

by

**Alex Alaniz**-

**UC Riverside**

These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics or physics.

(

**6861**views)

**Solitons**

by

**David Tong**-

**University of Cambridge**

These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton.

(

**4414**views)

**Lectures on Integrable Hamiltonian Systems**

by

**G.Sardanashvily**-

**arXiv**

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.

(

**3870**views)

**Lectures on Diffusion Problems and Partial Differential Equations**

by

**S.R.S. Varadhan**-

**Tata Institute of Fundamental Research**

Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.

(

**4524**views)