The Eigenstates of High Power of Parametrization Boson Annihilation Operator and Their Quantum Fluctuation Law

[in Chinese]; [in Chinese]; [in Chinese]; [in Chinese]

[1] L. C. Biedenharn. The quantum group SUq(2) and a q-analogue of the boson operators. J. Phys. (A). Math and Gen., 1989, 22(17): L873～L878

[2] C. P. Sun, H. C. Fu. The q-deformed boson relization of the quantum group SUq(2) and its representation. J. Phys. (A), 1989, 22(21): L983～L986

[3] M. Chaichian, D. Ellinas, P. Kullish. Quantum algebra as the dynamical symmetry of the deformoved Jaynes-Cummings model. Phys. Rev. Lett., 1990, 65(8): 980～983

[4] C. Quesne. Coherent states, K-matrix theory and q-boson realizations of the quantum algebra SUq(2). Phys. Lett. (A), 1991, 153(6,7): 303～307

[5] L. M. Kuang, F. B. Wang. The SUq(1,1) q-coherent sates and their nonclassc properties. Phys. Lett. (A), 1993, 173(3): 221～227

[6] L. M. Kuang. The q-supercoherent sates of the q-deformed SU(2). J. Phys. (A), 1992, 25(18): 4827～4833

[11] S. Chaturved, A. K. Kapoor, V. Srinivasan. Generalized commutation relations for a single-mode oscillator. Phys. Rev. (A), 1991, 43(8): 4555～4557

[13] Le-Man Kuang, Fa-Bo Wang,Gao-Jian Zeng. The k-component q-coherent staterep resentations of the quantum Heisenberg-Weyl algebra. Phys. Lett. (A), 1993, 176(1,2): 1～5