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: Invariance Theory, the Heat Equation and the Atiyah-Singer Index TheoremInvariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by - Publish or Perish Inc.
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas and the Gauss-Bonnet theorem.
(5658 views)
Book cover: Lecture Notes on Mathematical Methods of Classical PhysicsLecture Notes on Mathematical Methods of Classical Physics
by - arXiv
Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.
(3325 views)
Book cover: Mirror SymmetryMirror Symmetry
by - American Mathematical Society
The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.
(7715 views)
Book cover: Little Magnetic BookLittle Magnetic Book
by - arXiv
'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.
(2342 views)