Coherent States and Applications in Mathematical Physics /
This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new ch...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2021.
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| Edition: | 2nd ed. 2021. |
| Series: | Theoretical and Mathematical Physics,
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- The standard coherent states of quantum mechanics
- The Weyl-Heisenberg group and the coherent states of arbitrary profile
- The coherent states of the Harmonic Oscillator
- From Schrödinger to Fock-Bargmann representation
- Weyl quantization and coherent states: Classical and Quantum observables
- Wigner function
- Coherent states and operator norm estimates
- Product rule and applications
- Husimi functions, frequency sets and propagation
- The Wick and anti-Wick quantization
- The generalized coherent states in the sense of Perelomov
- The SU(1,1) coherent states: Definition and properties
- The squeezed states
- The SU(2) coherent states
- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians
- The metaplectic transformations
- The propagation of coherent states
- Representation of the Weyl symbols of the metaplectic operators
- The semiclassical evolution of coherent states
- The van Vleck and Hermann-Kluk approximations
- The semiclassical Gutzwiller trace formula using coherent states decomposition
- The hydrogen atom coherent states: Definition and properties
- The localization around Kepler orbits
- The quantum singular oscillator: The two-body case
- The N-body case.