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

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

  •  Department of Physics,Tongji University,Shanghai 200092

  • The generalized q-coherent state of the quantum group SUq(2) is defined.The q-coherent state realization of the quantum algebra SUq(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SUq(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.
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    [1] 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 SUq(2)[J]. Chinese Physics C, 1992, 16(5): 461-467.
YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SUq(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 SUq(2)

    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 SUq(2) is defined.The q-coherent state realization of the quantum algebra SUq(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SUq(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.

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