Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

WANG Ji-Suo; LIU Tang-Kun; ZHAN Ming-Sheng

Chinese Physics C> 2001, Vol. 25> Issue(1) : 11-15

Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics ,the Chinese Academy of Sciences, Wuhan 430071, China2 Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics,The Chinese Academy of Sciences, Hefei 230031, China3 Department of Physics, of Liaocheng Teachers University, Liaocheng 252059, China4 Department of Physics, Hubei Normal University, Huangshi 435002, China

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Abstract：
The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space, and the odd-order squeezing effects exist in all of the states.

References

[1]

Pocek M. Phys. Lett., 1991,B255:554 2 Delbecq C,Quesne C. J. Phys., 1993,A26: L1273 Biedenharn L C. J. Phys.,1989,A22:L8724 CHANG Zhe,CHEN Wei,GUO Han–Ying. J. Phys., 1990,A23:41855 CHANG Zhe,CHEN Wei,YAN Hong. J. Phys., 1990,A23:42356 Cordriansky S. Phys. Lett., 1994,A184:381 7 XU Zi–Wen. High Energy Phys. and Nucl. Phys., 1999,23:436(in Chinese)(徐子. 高能物理与核物理,1999,23:436)8 YU Zhao–Xian,WANG Ji–Suo et al. Acta Physica Sinica, 1997,46: 1693 (in Chinese)(于肇贤,王继锁等物理学报,1997,46:1693) 9 XU Zi–Wen. Acta Physica Sinica, 1996,45: 1807 (in Chinese)(徐子. 物理学报,1996,45:1807)10 WANG Ji–Suo,LIU Tang–Kun,ZHAN Ming–Sheng. High Energy Phys. and Nucl. Phys.,2000,24: 1114(in Chinese)(王继锁, 刘堂昆, 詹明生. 高能物理与核物理,2000,24:1114)11 HAO San–Ru. Acta Physica Sinica, 1993,42:691 (in Chinese)(郝三如. 物理学报,1993,42:691) 12 ZHANG A M ,XU L et al. Phys. Lett.,1990,A150:27

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WANG Ji-Suo, LIU Tang-Kun and ZHAN Ming-Sheng. Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(1): 11-15.

WANG Ji-Suo, LIU Tang-Kun and ZHAN Ming-Sheng. Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(1): 11-15. shu

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Received: 1999-12-08
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

Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

Corresponding author: WANG Ji-Suo,

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics ,the Chinese Academy of Sciences, Wuhan 430071, China2 Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics,The Chinese Academy of Sciences, Hefei 230031, China3 Department of Physics, of Liaocheng Teachers University, Liaocheng 252059, China4 Department of Physics, Hubei Normal University, Huangshi 435002, China

Received Date: 1999-12-08
Accepted Date: 1900-01-01
Available Online: 2001-01-05

Abstract: The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space, and the odd-order squeezing effects exist in all of the states.