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book: Volume 1 Quantum Mechanics via Lie Algebras
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Volume 1 Quantum Mechanics via Lie Algebras

Language: English
Published/Copyright: 2024
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About this book

This monograph introduces mathematicians, physicists, and engineers to the ideas relating quantum mechanics and symmetries - both described in terms of Lie algebras and Lie groups. The exposition of quantum mechanics from this point of view reveals that classical mechanics and quantum mechanics are very much alike. Written by a mathematician and a physicist, this book is (like a math book) about precise concepts and exact results in classical mechanics and quantum mechanics, but motivated and discussed (like a physics book) in terms of their physical meaning. The reader can focus on the simplicity and beauty of theoretical physics, without getting lost in a jungle of techniques for estimating or calculating quantities of interest.
  • This work is not intended for a strictly linear reading: Start reading where your interest is!
  • All the material is covered at different levels of sophistication.
  • A mix of introductory material and many advanced topics.
  • Author / Editor information

    Arnold Neumaier and Dennis Westra, University of Vienna, Austria.


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    I

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    V

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    XI
    Part I: Basic concepts and principles

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    Part II: The meaning of quantum mechanics

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    105

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    Part III: The symmetries of space and time

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    153

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    155

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    Part IV: Conservative classical mechanics

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    Part V: The dynamics of quantum systems

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    317

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    Part VI: Representations of groups and Lie algebras

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    381

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    Publishing information
    Pages and Images/Illustrations in book
    eBook published on:
    October 7, 2024
    eBook ISBN:
    9783110406207
    Hardcover published on:
    October 7, 2024
    Hardcover ISBN:
    9783110406108
    Pages and Images/Illustrations in book
    Front matter:
    18
    Main content:
    486
    Illustrations:
    0
    Coloured Illustrations:
    0
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