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Volume 1 Quantum Mechanics via Lie Algebras
Language:
English
Published/Copyright:
2024
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.
Author / Editor information
Arnold Neumaier and Dennis Westra, University of Vienna, Austria.
Topics
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I |
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V |
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XI |
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Part I: Basic concepts and principles
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1 |
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5 |
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18 |
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44 |
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Part II: The meaning of quantum mechanics
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75 |
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77 |
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105 |
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125 |
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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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182 |
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199 |
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221 |
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238 |
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Part IV: Conservative classical mechanics
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265 |
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267 |
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287 |
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Part V: The dynamics of quantum systems
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317 |
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319 |
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346 |
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363 |
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Part VI: Representations of groups and Lie algebras
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381 |
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383 |
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395 |
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413 |
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453 |
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465 |
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469 |
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471 |
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
Keywords for this book
Classical mechanics; Theoretical physics; Oscillating systems; Markov processes
Audience(s) for this book
Mathematicians and theoretical and mathematical physicists.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com