Dynamics of aQ-analogue of the Quantum Harmonic Oscillator

DOI10.1080/09500349114550781zbMath0941.81623OpenAlexW2101466485MaRDI QIDQ4490589

Vladimír Bužek

Publication date: 16 July 2000

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09500349114550781

zbMATH Keywords

squeezing\(q\)-deformed quantum harmonic oscillator\(q\)-position operatoranalogue of coherent state

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80) Coherent states (81R30)

Related Items (5)

Even and odd \(q\)-coherent states in a finite-dimensional basis and their squeezing properties ⋮ WKB equivalent potentials for q-deformed harmonic and anharmonic oscillators ⋮ Even and odd \(q\)-deformed charge coherent states and their nonclassical properties ⋮ U(1/1)_qq-coherent states and theq-deformed Jaynes-Cummings Model ⋮ k -component q-deformed charge coherent states and their nonclassical properties

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Compact matrix pseudogroups
• Quantum deformations of SU(2)
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the polar decomposition of the quantum SU(2) algebra
• Comment on the q-analogues of the harmonic oscillator
• Squeezed Light
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model

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