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Coherent states and their applications. A contemporary panorama. (English) Zbl 1398.81008

Springer Proceedings in Physics 205. Cham: Springer (ISBN 978-3-319-76731-4/hbk; 978-3-319-76732-1/ebook). xii, 347 p. (2018).

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Publisher’s description: Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics.
The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts.
The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.
The articles of this volume will be reviewed individually.
Indexed articles:
Klauder, John R., Enhanced quantization: the Right way to quantize Everything, 1-15 [Zbl 1398.81136]
Aniello, Paolo, Square integrable representations, an invaluable tool, 17-40 [Zbl 1398.81114]
Hall, Brian C., Coherent states for compact Lie groups and their large-\(N\) limits, 41-61 [Zbl 1398.81121]
Bownik, Marcin, Continuous frames and the Kadison-Singer problem, 63-88 [Zbl 1398.81116]
Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon, Coherence, squeezing and entanglement: an example of peaceful coexistence, 89-117 [Zbl 1398.81119]
Odzijewicz, Anatol; Wawreniuk, Ewa, Coherent state maps for Kummer shapes, 119-133 [Zbl 1398.81122]
Thirulogasanthar, K.; Muraleetharan, B., Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it, 135-155 [Zbl 1398.81125]
Spera, Mauro, On some geometric aspects of coherent states, 157-172 [Zbl 1398.81124]
Vourdas, A., Coherent spaces, 173-189 [Zbl 1398.81126]
Guerrero, Julio, Non-Hermitian coherent states for finite-dimensional systems, 191-207 [Zbl 1398.81120]
Dey, Sanjib; Fring, Andreas; Hussin, Véronique, A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length, 209-242 [Zbl 1398.81117]
Oeckl, Robert, Coherent states in fermionic Fock-Krein spaces and their amplitudes, 243-263 [Zbl 1398.81123]
Moschella, Ugo, Two dimensional de Sitter spinors and their \(SL(2,R)\) covariance, 265-280 [Zbl 1398.81177]
Bergeron, Hervé; Czuchry, Ewa; Małkiewicz, Przemysław, Coherent states quantization and affine symmetry in quantum models of gravitational singularities, 281-309 [Zbl 1398.81115]
Dodonov, Viktor V., Coherent states and their generalizations for a charged particle in a magnetic field, 311-338 [Zbl 1398.81118]
Bieliavsky, Pierre, On strongly closed and tracial star-products on Poisson manifolds, 339-343 [Zbl 1398.53087]

MSC:

81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
00A79 Physics
81P40 Quantum coherence, entanglement, quantum correlations
00B25 Proceedings of conferences of miscellaneous specific interest
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