Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing

WANG JiSuo; LIU TangKun; ZHAN MingSheng

Chinese Physics C> 2000, Vol. 24> Issue(12) : 1115-1122

Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing

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, Liaocheng Teachers University, Liaocheng 252059, China4 Department of physics,Hubei Normal University,Huangshi 435002,China

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Abstract：
The eigenstates of the Kth powers (K≥3) of the annihilation operator of the Q- deformed non-harmonic oscillator are constructed, and their completeness and higher-order Squeezing properties are investigated. The results show that they form a complete Hilbert space, and the Mth order [M=(n+1/2)K; n = 0,1,2,…] Squeezing effects exist in all of the eigenstates when K is even.

References

[1]

Drinfeld V G. Proc. ICM Berkeley., 1986, 7982 Klauder J R, Skagerstam B S. Coherent States. Singapore: World Scientific 1985 3 Biendenharn L C. J. Phys., 1989, A22:L873 4 Gray R W. J. Phys., 1990, A23:L9545 WANG FaBo, KUANG LeMan. J. Phys., 1993, A26:293 6 ZHU CongXu, WANG FaBo et al. Acta Physica Sinica (in Chinese), 1994, 43 :1262(朱从旭,王发伯等.物理学报,1994,43:1262) 7 Pocek M. Phys. Lett., 1991, B255:5548 Delbecq C, Quesne C. J. Phys., 1993, A26: L1279 CHANG Zhe, CHEN Wei, GUO HanYing. J. Phys., 1990, A23:418510 CHANG Zhe, CHEN Wei, YAN Hong. J. Phys., 1990, A23:4235 11 Codriansky S. Phys. Lett., 1994, A184:381 12 XU ZiWen. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23:436(徐子馼.高能物理与核物理,1999,23:436)13 WANG JiSuo, LIU TangKun, ZHAN MingSheng. Acta Optica Sinica (in Chinese), 2000, 20(10)(王继锁,刘堂昆,詹明生.光学学报,2000,20(10))14 Chaichian M, Ellnias D et al. Phys. Rev. Lett., 1990, 65:98015 Bonatsos D, Daskaloyannis C. Phys. Lett., 1992, B278:1 16 ZHU DongPei. J. Phys., 1987, A20:4331 17 XU ZiWen. Acta Physica Sinica (in Chinese), 1996, 45: 1807(徐子馼.物理学报,1996,45:1807)18 HAO SanRu. Acta Physica Sinica (in Chinese), 1993, 42:691(郝三如.物理学报,1993,42:691) 19 YU ZhaoXian, WANG JiSuo et al. Acta Physica Sinica (in Chinese), 1997, 46 : 1693(于肇贤,王继锁等.物理学报,1997,46:1693) 20 ZHANG Z M, XU L et al. Phys. Lett., 1990, A150:27

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WANG JiSuo, LIU TangKun and ZHAN MingSheng. Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing[J]. Chinese Physics C, 2000, 24(12): 1115-1122.

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Received: 1999-12-27
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

Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing

Corresponding author: WANG JiSuo,

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, Liaocheng Teachers University, Liaocheng 252059, China4 Department of physics,Hubei Normal University,Huangshi 435002,China

Received Date: 1999-12-27

Accepted Date: 1900-01-01

Available Online: 2000-12-05

Abstract: The eigenstates of the Kth powers (K≥3) of the annihilation operator of the Q- deformed non-harmonic oscillator are constructed, and their completeness and higher-order Squeezing properties are investigated. The results show that they form a complete Hilbert space, and the Mth order [M=(n+1/2)K; n = 0,1,2,…] Squeezing effects exist in all of the eigenstates when K is even.

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Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing

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