Coherent states of the \(q\)-Weyl algebra

DOI10.1007/BF00750767zbMath0833.17013MaRDI QIDQ1900501

Vyacheslav P. Spiridonov

Publication date: 31 October 1995

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

zbMATH Keywords

coherent stateseigenstates\(q\)-oscillator algebrabilateral basic hypergeometric series\(q\)-Weyl algebrafree particle realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (7)

High order stable Runge-Kutta methods for nonlinear generalized pantograph equations on the geometric mesh ⋮ A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ On the spectrum of a \(q\)-oscillator with a linear interaction ⋮ Small divisors problem in dynamical systems and analytic solutions of the Shabat equation ⋮ Regular solutions of the Shabat equation ⋮ Bargmann Representations for Deformed Harmonic Oscillators

Cites Work

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• PRODUCTION OF Q-BOSONS BY A CLASSICAL CURRENT: AN EXACTLY SOLVABLE MODEL
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the generalized pantograph functional-differential equation
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• Hilbert spaces of analytic functions and generalized coherent states
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$

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