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: Euclidean Random Matrices and Their Applications in PhysicsEuclidean Random Matrices and Their Applications in Physics
by - arXiv
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.
(7955 views)
Book cover: Navier-Stokes Equations: On the Existence and the Search Method for Global SolutionsNavier-Stokes Equations: On the Existence and the Search Method for Global Solutions
by - MiC
In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Navier-Stokes equations represent the extremum conditions of a certain functional.
(10700 views)
Book cover: An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonicsAn elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
by - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
(16896 views)
Book cover: The Landscape of Theoretical PhysicsThe Landscape of Theoretical Physics
by - arXiv
This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, and much more.
(13902 views)