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: 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.
(9827 views)
Book cover: Step-by-Step BS to PhD Math/PhysicsStep-by-Step BS to PhD Math/Physics
by - 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.
(14360 views)
Book cover: Lectures on Diffusion Problems and Partial Differential EquationsLectures on Diffusion Problems and Partial Differential Equations
by - 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.
(9699 views)
Book cover: Mathematical Physics IIMathematical Physics II
by - 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.
(17427 views)