Chinese Physics C > 1995, Vol. 19 > Issue(3): 258-263

Study of SU(2)_q,sCoherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,sQuantum Algebra

Daqing Petroleum Institute, Anda, Heilongjiang 151400

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Abstract：
The SU(2) _q,scoherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2) _q,squantum algebra. It is shown that the basis function of the SU(2) _q,squantum algebra is orthogonal. The completeness and normalization property of the SU(2) _q,scoherent state is studied. It is pointed out that the coherent property of the SU(2) _q,scoherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2) _qcoherent state.
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[1] 郝三如，物理学报，42（1993）691.[2]井思聪，中国科学技术大学学报，23（1993）55.
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Yu Zhaoxian, Liu Yehou, Li Qinglin and Liang Bifang. Study of SU(2) _q,sCoherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2) _q,sQuantum Algebra[J]. Chinese Physics C, 1995, 19(3): 258-263.

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of SU(2)_q,sCoherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,sQuantum Algebra

Corresponding author:Yu Zhaoxian,

Daqing Petroleum Institute, Anda, Heilongjiang 151400

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1995-03-05

Abstract:The SU(2)_q,scoherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2)_q,squantum algebra. It is shown that the basis function of the SU(2)_q,squantum algebra is orthogonal. The completeness and normalization property of the SU(2)_q,scoherent state is studied. It is pointed out that the coherent property of the SU(2)_q,scoherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2)_qcoherent state.