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

Study of SU(2)q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)q,s Quantum Algebra

  •  Daqing Petroleum Institute, Anda, Heilongjiang 151400

  • The SU(2)q,s coherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2)q,s quantum algebra. It is shown that the basis function of the SU(2)q,s quantum algebra is orthogonal. The completeness and normalization property of the SU(2)q,s coherent state is studied. It is pointed out that the coherent property of the SU(2)q,s coherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2)q coherent 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,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)q,s Quantum Algebra[J]. Chinese Physics C, 1995, 19(3): 258-263.
Yu Zhaoxian, Liu Yehou, Li Qinglin and Liang Bifang. Study of SU(2)q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)q,s Quantum Algebra[J]. Chinese Physics C, 1995, 19(3): 258-263. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Study of SU(2)q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)q,s Quantum 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,s coherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2)q,s quantum algebra. It is shown that the basis function of the SU(2)q,s quantum algebra is orthogonal. The completeness and normalization property of the SU(2)q,s coherent state is studied. It is pointed out that the coherent property of the SU(2)q,s coherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2)q coherent state.

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