Logo

Classical and Quantum Mechanics via Lie algebras

Small book cover: Classical and Quantum Mechanics via Lie algebras

Classical and Quantum Mechanics via Lie algebras
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(2.4MB, PDF)

Similar books

Book cover: Mathemathical Methods of Theoretical PhysicsMathemathical Methods of Theoretical Physics
by - Edition Funzl
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
(7023 views)
Book cover: Lecture Notes on Mathematical Methods of Classical PhysicsLecture Notes on Mathematical Methods of Classical Physics
by - arXiv
Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.
(5069 views)
Book cover: Lectures on Three-Dimensional ElasticityLectures on Three-Dimensional Elasticity
by - Tata Institute of Fundamental Research
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and existence results will be studied in the second chapter.
(6229 views)
Book cover: Topics in Spectral TheoryTopics in Spectral Theory
by - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
(6281 views)