Bell numbers and coherent states

DOI10.1016/S0375-9601(00)00488-6zbMath1115.81359WikidataQ127726086 ScholiaQ127726086MaRDI QIDQ997709

J. Martínez

Publication date: 7 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Stirling numbers\(q\)-deformationscoherent statesBell numbers

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) Special sequences and polynomials (11B83)

Related Items (9)

Recent developments in combinatorial aspects of normal ordering ⋮ Dobiński relations and ordering of boson operators ⋮ Normal ordering associated with \(\lambda\)-Stirling numbers in \(\lambda\)-shift algebra ⋮ Umbral calculus and Sheffer sequences of polynomials ⋮ Boson normal ordering via substitutions and Sheffer-type polynomials ⋮ \(q\)-fermionic numbers and their roles in some physical problems ⋮ Some applications of the fractional Poisson probability distribution ⋮ Noncrossing normal ordering for functions of boson operators ⋮ Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem

Cites Work

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• Some Probabilistic Aspects of Set Partitions
• Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
• Hilbert spaces of analytic functions and generalized coherent states

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