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
Harmonic Oscillators and Two-by-two Matrices in Symmetry Problems in Physicsby Young Suh Kim (ed.) - MDPI AG
With a degree of exaggeration, modern physics is the physics of harmonic oscillators and two-by-two matrices. Indeed, they constitute the basic language for the symmetry problems in physics, and thus the main theme of this journal.
(7929 views)
Foundations Of Potential Theoryby Oliver Dimon Kellog - Springer
The present volume gives a systematic treatment of potential functions. It has a purpose to serve as an introduction for students and to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications.
(8721 views)
Mathematical Methods of Physics- Wikibooks
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
(13468 views)
Partial Differential Equations of Mathematical Physicsby William W. Symes - Rice University
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
(17867 views)