This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dieke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.
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"... it provides an excellent survey in a very broad sense of the present state-of-the-art in the subject." -- Mathematical Reviews
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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No-Go Theorem, Additional Reading, Gleason's Theorem, Uncertainty Principle, Heisenberg Lie, Pool's Theorem, Dequantization Of Toeplitz Operators, Eigenfunction Expansions, Field Theory And Modes, Meaning And Form New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
No-Go Theorem, Additional Reading, Gleason's Theorem, Uncertainty Principle, Heisenberg Lie, Pool's Theorem, Dequantization Of Toeplitz Operators, Eigenfunction Expansions, Field Theory And Modes, Meaning And Form New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 86
books:
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3
books
cite this book:
- Quantum Implications: Essays in Honour of David Bohm by B.J. Hiley on page 49, and Back Matter
- Dictionary of Mathematics by McGraw-Hill in Back Matter
- Aspects of Quantum Theory by Abdus Salam in Back Matter
- Foundations of Quantum Mechanics by J.M. Jauch in Back Matter
- Differential Calculus by H. Cartan in Back Matter
See all 86 books this book cites
- The Principles of Newtonian & Quantum Mechanics by Maurice De Gosson in Back Matter
- From Classical to Quantum Mechanics: An Introduction to the Formalism, Foundations and Applications by Giampiero Esposito in Back Matter
- Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific) by Cosmas K. Zachos on page 33
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