Corpus ID: 115169804

Classical and quantum mechanics via Lie algebras

@article{Neumaier2011ClassicalAQ,
  title={Classical and quantum mechanics via Lie algebras},
  author={A. Neumaier and D. Westra},
  journal={arXiv: Quantum Physics},
  year={2011}
}
  • A. Neumaier, D. Westra
  • Published 2011
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • 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. Much of the material covered here is not part… CONTINUE READING
    12 Citations

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    References

    SHOWING 1-10 OF 318 REFERENCES
    Ensembles and Experiments in Classical and Quantum Physics
    • 10
    • PDF
    On the Principles of Elementary Quantum Mechanics
    • 573
    • PDF
    PRINCIPLES OF STATISTICAL MECHANICS
    • 316
    Implications of quantum theory in the foundations of statistical mechanics
    • 20
    • PDF
    Compendium of the Foundations of Classical Statistical Physics
    • 187
    • PDF
    Quantum Information and Relativity Theory
    • 420
    • PDF
    Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists
    • 159
    • Highly Influential
    • PDF
    An Introduction to Lie Groups and Lie Algebras
    • Alexander Kirillov
    • Mathematics
    • 2008
    • 80
    • PDF
    Statistical Mechanics:
    • 4,280