WKB equivalent potentials for q-deformed harmonic and anharmonic oscillators

DOI10.1063/1.529565zbMath0762.17026OpenAlexW2026806778WikidataQ63410736 ScholiaQ63410736MaRDI QIDQ4031002

Costas Daskaloyannis, Kostas D. Kokkotas, Dennis Bonatsos

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529565

zbMATH Keywords

quantum algebrasPöschl-Teller potential\(q\)-deformed harmonic oscillator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Wormhole potentials and throats from quasi-normal modes ⋮ A new approach for the Jeffreys–Wentzel–Kramers–Brillouin theory ⋮ Ultra compact stars: reconstructing the perturbation potential ⋮ Connection between \(q\)-deformed anharmonic oscillators and quasi-exactly soluble potentials ⋮ Dynamical algebra of the q-deformed three-dimensional oscillator

Cites Work

• Some remarks on Koszul algebras and quantum groups
• Group theory approach to scattering
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• q-ANALOGUE OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SU_q(2) AND SU_q(1, 1)
• THE q-SCHRÖDINGER EQUATION
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The role of the connection in geometric quantization
• A q-analogue of Bargmann space and its scalar product
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• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• WKB equivalent potentials for the q-deformed harmonic oscillator
• Dynamics of aQ-analogue of the Quantum Harmonic Oscillator
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain
• SU_q(1,1) description of vibrational molecular spectra

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