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A (p, q)-oscillator realization of two-parameter quantum algebras

Journal of Physics A Mathematical and General · 1991 · Vol. 24(13) · pp. L711–L718

R. Chakrabarti✉(University of Madras)R. Jagannathan(University of Madras)

Abstract

It is noted that the study of a quantum algebra sup,q(2), with two independent deformation parameters (p, q), leads to a '(p, q)-oscillator' realization for it. The analysis is extended to the (p, q)-analogues of su(1, 1), osp(2/1) and the centreless Virasoro algebra. The standard single-parameter (q) deformations are obtained in the limit p=q.

Algebraic structures and combinatorial models Advanced Topics in Algebra Nonlinear Waves and SolitonsRealization (probability)QuantumPhysicsLimit (mathematics)Quantum algebraMathematical physicsQuantum mechanicsAlgebra over a fieldVirasoro algebraCurrent algebra

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References

The quantum group SUq(2) and a q-analogue of the boson operators