Analytic aspects ofq-delayed exponentials: minimal growth, negative zeros and basic ghost states

DOI10.1080/10236190701317970zbMath1147.30022OpenAlexW2026943433MaRDI QIDQ5459806

Moritz Simon, Andreas Ruffing

Publication date: 29 April 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701317970

zbMATH Keywords

harmonic oscillator

Mathematics Subject Classification ID

Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear functional-differential equations (34K06) Coherent states (81R30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• The classical moment problem as a self-adjoint finite difference operator
• The \(q\)-harmonic oscillator and the Al-Salam and Carlitz polynomials
• Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices
• Square integrability of Gaussian bells on time scales
• Newq-deformed coherent states with an explicitly known resolution of unity
• New generalized coherent states
• Integral Functions With Negative Zeros
• Generalized \(q\)-Hermite polynomials

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