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: 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.
(6861 views)
Book cover: SolitonsSolitons
by - 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)
Book cover: Lectures on Integrable Hamiltonian SystemsLectures on Integrable Hamiltonian Systems
by - 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)
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.
(4524 views)