articleTop 1% cited
On the q oscillator and the quantum algebra su<sub>q</sub>(1,1)
Journal of Physics A Mathematical and General · 1990 · Vol. 23(9) · pp. L415–L419
P. P. Kulish✉(Steklov Mathematical Institute)E. V. Damaskinsky(Steklov Mathematical Institute)
Abstract
The authors discuss some problems of the q-deformed harmonic oscillator. Different q bosonisations of the quantum suq(1,1) algebra are given and the corresponding infinite dimensional representations of discrete series are analysed.
Algebraic structures and combinatorial modelsNonlinear Waves and SolitonsMathematical functions and polynomialsHarmonic oscillatorQuantum algebraQuantum harmonic oscillatorSeries (stratigraphy)QuantumAlgebra over a fieldMathematicsQuantum mechanicsPhysicsPure mathematics
Citations
351
FWCI
42.07
field-weighted impact
References
9
Percentile
100%
vs. same field & year
Citations per year
Cited by
A (p, q)-oscillator realization of two-parameter quantum algebras
Journal of Physics A Mathematical and General · 1991 · 395 citations
References
The quantum group SU<sub>q</sub>(2) and a q-analogue of the boson operators
Journal of Physics A Mathematical and General · 1989 · 1,452 citations
On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>
Journal of Physics A Mathematical and General · 1989 · 1,506 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.