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

Abstract
HTML
Reference
Related

PDF

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

[1]	WANG Zhong-Qing , DUAN Chang-Kui . Phase Probability Distributions of Pair q-Coherent States. Chinese Physics C, 2006, 30(3): 273-276.
[2]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-Scale Perturbation Theory of Generalized Anharmonic Oscillator. Chinese Physics C, 2006, 30(10): 944-949.
[3]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[4]	An Nan , YANG Xin-E . Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition. Chinese Physics C, 2005, 29(4): 350-353.
[5]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[6]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[7]	JIANG Jun-Qin . Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(8): 786-790.
[8]	LIANG Mai-Lin , YUAN Bing . Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States. Chinese Physics C, 2002, 26(9): 900-903.
[9]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[10]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[11]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[12]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[13]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
[14]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
[15]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[16]	Wei Lianfu , Wang Shunjin , Jie Quanlin . q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[17]	Wang Jisuo , Sun Changyong , Teng Aiping . Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}. Chinese Physics C, 1997, 21(9): 793-800.
[18]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[19]	Zhou Huanqiang , He Jingsong , Zhang Xinming . Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(3): 251-257.
[20]	DUAN Yi-Wu , WU Wei-Ping , BAO Cheng-Guang , AN Wei-Ke . The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems. Chinese Physics C, 1991, 15(1): 42-45.

Access

Get Citation

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.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-12-27
Revised: 1900-01-01

Article Metric

Article Views(3900)
PDF Downloads(571)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article