Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials

DOI10.1007/s11232-008-0044-5zbMath1155.81339OpenAlexW2036056824MaRDI QIDQ1002599

E. V. Damaskinskiĭ, Vadim V. Borzov

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0044-5

zbMATH Keywords

orthogonal polynomialscoherent stateCharlier \(q\)-polynomialdeformed oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30)

Related Items (4)

A class of vector coherent states defined over matrix domains ⋮ Squeezed states from a quantum deformed oscillator Hamiltonian ⋮ The symmetric q-oscillator algebra: q-coherent states, q-Bargmann–Fock realization and continuous q-Hermite polynomials with 0 < q < 1 ⋮ Generalized coherent states for \(q\)-oscillator associated with discrete \(q\)-Hermite polynomials

Cites Work

• Unnamed Item
• Generalized oscillator and its coherent states
• The \(q\)-harmonic oscillator and the Al-Salam and Carlitz polynomials
• \(q\)-orthogonal polynomials and the oscillator quantum group
• Integrable multi-boson systems and orthogonal polynomials
• The q-harmonic oscillator and an analogue of the Charlier polynomials
• Orthogonal polynomials and generalized oscillator algebras
• Realization of the Annihilation Operator for an Oscillator-Like System by a Differential Operator and Hermite-Chihara Polynomials

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