The Generalized q-Coherent State Representation of the Quantum Algebra SU<SUB>q</SUB>(2)

YU Zu-Rong

Chinese Physics C> 1992, Vol. 16> Issue(5) : 461-467

The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)

YU Zu-Rong ^,

Department of Physics,Tongji University,Shanghai 200092

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Abstract：
The generalized q-coherent state of the quantum group SU_q(2) is defined.The q-coherent state realization of the quantum algebra SU_q(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SU_q(2),the q-Holstein-Primakoff representation is also found from the q-Dyson representation.The transformation matrix between the q-Dyson and Holstein-Primakoff representation is obtained.

References

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YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)[J]. Chinese Physics C, 1992, 16(5): 461-467.

YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)[J]. Chinese Physics C, 1992, 16(5): 461-467. shu

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

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The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)

YU Zu-Rong ^,

Corresponding author: YU Zu-Rong,

Department of Physics,Tongji University,Shanghai 200092

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-05-05

Abstract: The generalized q-coherent state of the quantum group SU_q(2) is defined.The q-coherent state realization of the quantum algebra SU_q(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SU_q(2),the q-Holstein-Primakoff representation is also found from the q-Dyson representation.The transformation matrix between the q-Dyson and Holstein-Primakoff representation is obtained.