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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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

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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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