q -DEFORMATIONS OF THREE-DEMENSIONAL ISOTROPIC OSCILLATOR AND THEIR WAVE FUNCTIONS

PAN FENG; XU PEI-JUN

doi:10.7498/aps.42.867

Abstract
In this paper, three kinds of q -deformations of three-dimensional isotropic oscillator are discussed in detail, the Hamiltonians of which have S3, SUq(2) , and Uq(3) symmetries, repectively. Especially, in the third case a specific realization of Uq(3)?SOq′ (3) is given. Relation between the q -deformed oscillator and the classical one is also discussed.
Authors and contacts
PAN FENG²,

XU PEI-JUN¹

(1)辽宁师范大学物理系,大连116022; (2)辽宁师范大学物理系,大连116022;ICTP,P.O.Box 586,34100 Trieste,Italy.
References

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Vol. 42, Issue 6 - 1993-03-20

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q -DEFORMATIONS OF THREE-DEMENSIONAL ISOTROPIC OSCILLATOR AND THEIR WAVE FUNCTIONS

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q -DEFORMATIONS OF THREE-DEMENSIONAL ISOTROPIC OSCILLATOR AND THEIR WAVE FUNCTIONS

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