
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.
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