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

YU Zu-Rong

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2024年10月30日

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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V. G, Drienfeld, In Proceeding of Inter. Congress of Math. (MSRI, Berkely 1988) p. 798.[2] P. P. Paychev, et al., J. Phys Gl6(1990), L137.[3] D. Bonatsos, et al., Phys. Lett.,B251(1990), 477.[4] J. Meng, C. S. Wu J. Y. Zeng As-ITP-91-06.[5] J. Do6aczewski, Nucl. Phys A369(1981), 213, 237.[6]Zurong Yu J. Phys., A23(1990), L939.[7] T. L. Curtright, et aL, Phys. Lett., B243(I990), 237.[8] Zurong Yu, J. Phys., A24(1991), L399,[9] R. W. Gray, et al., J. Phys., A23(1990), L945.[10] K. T. Hecht, Lec. Notes in Phys., Vol. 290(1987), p. 1.[11] D. J. Rowe, Rep. Prog. Phys., 48(1985), 1419.[12] Pan Feng Chinese Phys. Lett., 8(1991), 56.

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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.