Analytic aspects ofq-delayed exponentials: minimal growth, negative zeros and basic ghost states
DOI10.1080/10236190701317970zbMath1147.30022OpenAlexW2026943433MaRDI QIDQ5459806
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
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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