Semiclassical sum rules and generalized coherent states

DOI10.1063/1.531258zbMath0884.47048OpenAlexW2071111473MaRDI QIDQ4873387

Monique Combescure, Didier Robert

Publication date: 16 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f76b35fe7fca1b7f7a705d2336eb59f8cea905ee

zbMATH Keywords

coherent statessemiclassical sum rulesstationary phase theorems

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (2)

Classicality criteria ⋮ Raising and lowering operators for semiclassical wave packets

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Quantum transition amplitudes for ergodic and for completely integrable systems
• Classical adiabatic angles and quantal adiabatic phase
• Discordance between quantum and classical correlation moments for chaotic systems
• The squeezed state approach of the semiclassical limit of the time-dependent Schrödinger equation
• Distribution and fluctuation properties of transition probabilities in a system between integrability and chaos

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