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

Xu Ziwen

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2024年10月30日

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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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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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.