Quantum Harmonic Analysis : : An Introduction / / Maurice A. de Gosson.
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential r...
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| Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | Advances in Analysis and Geometry ,
4 |
| Online Access: | |
| Physical Description: | 1 online resource (XVIII, 222 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Introduction
- 1 Preliminaries
- 2 Displacements and reflections
- 3 The cross-Wigner transform
- 4 Gaussians and hermite functions
- 5 The Weyl transform
- 6 The Cohen class
- 7 Born–Jordan quantization
- 8 Metaplectic operators
- 9 The property of symplectic covariance
- 10 The Feichtinger algebra
- 11 Hilbert–Schmidt operators
- 12 The trace class
- 13 The quantum Bochner theorem
- 14 The density operator
- 15 The uncertainty principle
- 16 Separability and entanglement
- 17 Separability of Gaussian states
- Bibliography
- Index