The glq(n)-covariant oscillators and q-deformed quantum mechanics in n dimensions
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Publication:4345074
DOI10.1063/1.531964zbMath0965.81034arXivq-alg/9609017OpenAlexW2593097059MaRDI QIDQ4345074
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Publication date: 6 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9609017
coherent states\(q\)-analogue of quantum mechanics\(q\)-deformed Weyl-Heisenberg groupcovariant oscillator algebra
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) General mathematical topics and methods in quantum theory (81Q99)
Cites Work
- Twisted second quantization
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- QUANTUM GROUP SCHRÖDINGER FIELD THEORY
- QUANTUM DEFORMATIONS OF QUANTUM MECHANICS
- A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
- THE q-SCHRÖDINGER EQUATION
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- The quantum group SUq(2) and a q-analogue of the boson operators
- Generalized deformed oscillator and nonlinear algebras
- On the number operators of multimode systems of deformed oscillators covariant under quantum groups
- A deformation of quantum mechanics
- New deformed boson algebra
- The q-deformation of quantum mechanics of one degree of freedom
- Comment on the deformation of quantum mechanics
- Hilbert spaces of analytic functions and generalized coherent states
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