**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

**Tensor Techniques in Physics: a concise introduction**

by

**Roy McWeeny**-

**Learning Development Institute**

Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).

(

**13769**views)

**Mathematical Physics II**

by

**Boris Dubrovin**-

**SISSA**

These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.

(

**17380**views)

**Feynman Diagrams and Differential Equations**

by

**Mario Argeri, Pierpaolo Mastrolia**-

**arXiv**

The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.

(

**13258**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.

(

**11333**views)