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

Yu Zhaoxian; Liu Yehou; Li Qinglin; Liang Bifang

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2024年10月30日

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

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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.
References

[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.

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

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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

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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

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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,

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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

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