Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential

Xu Ziwen

Chinese Physics C> 1999, Vol. 23> Issue(5) : 436-444

Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential

Xu Ziwen ^,

Department of Basic Sciences, Beijing Institute of Machinery, Beijing 100085

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Abstract：
By using the transforming operators, the Q-deformation of the nonharmonic oscillator algebra is obtained. Based on the algebra, the Q-deformation of generalized coherent states are introduced. It is found that these states have the overcompleteness and they are the minimal uncehainty states for the Q-deformed natural operators, and the relative rate of squeezing of the Q-deformation of generalized even coherent state increases with the degree of deformation in the principal squeezing region.

References

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Pocek M. Phys. Lett., 1991, B255:5542 Delbecq C, Quesne C J Phys, 1993, A26:L127 3 Biedenharn L C、J Phys., 1989, A22:L8724 Chang Zhe, Chen Wei, Guo Hanying. J Phys., 1990, A23:4185 5 Chang Zhe, Chen Wei, Yan Hong. J Phys. 1990, A23:42356 Codriansky S. Phys. Lett., 1994, A184:3817 Zhu Dongpei. J Phys., 1987, A20:43318 Xu Ziwen. ACTA PHYSICA SINICA(in Chinese), 1996, 45:1807 (徐子.物理学报, 1996, 45; 1807) 9 Hao Sanru. ACTA PHYSICA SINICA(in Chinese), 1993, 42: 1057 (郝三如.物理学报,1993,42:1057)10 Batut A O, Cirardillo L .Commun. Math. Phys.3 1971, 21:41 11 Ni Zhixang ACTA PHYSICA SINICA(in Chinese), 1997, 47:1687 (倪致样.物理学报,1997,47:1687)

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Xu Ziwen. Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential[J]. Chinese Physics C, 1999, 23(5): 436-444.

Xu Ziwen. Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential[J]. Chinese Physics C, 1999, 23(5): 436-444. shu

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Received: 1998-04-20
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential

Xu Ziwen ^,

Corresponding author: Xu Ziwen,

Department of Basic Sciences, Beijing Institute of Machinery, Beijing 100085

Received Date: 1998-04-20
Accepted Date: 1900-01-01
Available Online: 1999-05-05

Abstract: By using the transforming operators, the Q-deformation of the nonharmonic oscillator algebra is obtained. Based on the algebra, the Q-deformation of generalized coherent states are introduced. It is found that these states have the overcompleteness and they are the minimal uncehainty states for the Q-deformed natural operators, and the relative rate of squeezing of the Q-deformation of generalized even coherent state increases with the degree of deformation in the principal squeezing region.