Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

WANG Zhong-Qing

Chinese Physics C> 2003, Vol. 27> Issue(2) : 105-108

Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

WANG Zhong-Qing ^,

College of Optical and Electronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

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Abstract：
The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x│=β│², which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.

References

[1]

　Schrdinger E .Naturwissenschaften,1926,14:664 2　Glauber R J.Phys.Rev.,1963,130:2529 3.　Nieto M M ,Simmons L M .Phys.Rev.,1979,D20:1321 4.　Biedenharn L C .J. Phys.,1989,A22:L873 5.　Gray R W .J .Phys.,1990,A23:L954 6.　WANG FaBo,KUANG LeMan.J .Phys.,1993,A26:293 7　CHANG Zhe,CHEN Wei,GUO HanYing.J .Phys.,1990,A23:4185 8　CHANG Zhe,CHEN Wei,YAN Hong.J .Phys.,1990,A23:4235 9　XU ZiWen.High Energy Phys.and Nucl.Phys.,1999,23:436(in Chinese)(徐子.高能物理与核物理,1999,23:436) 10　WANG JiSuo,LIU TangKun,ZHAN MingSheng.High Energy Phys.and Nucl.Phys.,2001,25:11(in Chinese)(王继锁,刘堂昆,詹明生.高能物理与核物理,2001,25:11) 11.　WANG ZhongQing.High EnergyPhys.and Nucl.Phys.,2001,25:1044(in Chinese)(汪仲清.高能物理与核物理,2001,25:1044) 12.　WANG JiSuo, LIU TangKun, ZHAN MingSheng. High Energy Phys.and Nucl.Phys., 2000, 24:1115(in Chinese)(王继锁,刘堂昆,詹明生.高能物理与核物理,2000,24:1115) 13.　ZHU DongPei.J .Phys.,1987,A20:4331 14.　Walls D F .Nature,1983,306:141 15.　WANG JiSuo,SUN ChangYong,ZHAO MingJian.Acta Optica Sinica,1997,17:293(in Chinese)(王继锁,孙长勇,赵铭健.光学学报,1997,17:293) 16　WANG ZhongQing.Chinese Journal ofQuantum Electronics,2002,19:435(in Chinese)(汪仲清.量子电子学报,2002,19:435)

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[15]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
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[19]	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.
[20]	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.

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WANG Zhong-Qing. Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2003, 27(2): 105-108.

WANG Zhong-Qing. Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2003, 27(2): 105-108. shu

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Received: 2002-05-09
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

Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

Corresponding author: WANG Zhong-Qing,

College of Optical and Electronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received Date: 2002-05-09

Accepted Date: 1900-01-01

Available Online: 2003-02-05

Abstract: The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x│=β│², which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.

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Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

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通讯作者: 陈斌, [email protected]

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