Quantum Statistic Properties of Eigenstates of the Annihilation Operatoraqsk of Two Parameter Deformed Harmonic Oscillator

Wang Jisuo; Sun Changyong; Teng Aiping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(9) : 793-800

Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}

Department of Physics, Liaocheng Teacher's College ,Shandong 252059

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Abstract：
In this paper, the quantum statistic properties of the eigenstates of the higher power a_qs^k(k≥3)of the annihilation operator of two-parameter deformed harmonic oscillator are investigated. The results show that the k states have Nth-power squeezing [N=(m+1/2)k,m=0,1,2,…] when k is even,and all of them show the antibunching effect

References

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周焕强、贺劲松、张新明，高能物理与核物理，19(1995)251.[2]王继锁、孙长勇等，高能物理与核物理，20(1996)703.[3]Jizuo Sun, Jisuo Wang, Chuankui Wang, Phys. Rev., A44(1991)3369.[4]Jizuo Sun Jisuo Wang, Chuankui Wang, Phys. Rev., A46(1992)1700.[5]Z. M. Zhang, L. Xu et al., Phys Lett., A150(1990)27.[6]D. F. Walls, Nature, 306(1983)141[7]Jisuo Wang et al., Phys Lett., A199(1995)137.

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Wang Jisuo, Sun Changyong and Teng Aiping. Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}[J]. Chinese Physics C, 1997, 21(9): 793-800.

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Received: 1900-01-01
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

Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}

Corresponding author: Wang Jisuo,

Department of Physics, Liaocheng Teacher's College ,Shandong 252059

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-09-05

Abstract: In this paper, the quantum statistic properties of the eigenstates of the higher power a_qs^k(k≥3)of the annihilation operator of two-parameter deformed harmonic oscillator are investigated. The results show that the k states have Nth-power squeezing [N=(m+1/2)k,m=0,1,2,…] when k is even,and all of them show the antibunching effect