Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Zhou Huanqiang; He Jingsong; Zhang Xinming

Chinese Physics C> 1995, Vol. 19> Issue(3) : 251-257

Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Department of Physics, Sichuan Normal University, Chengdu, 610066

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Abstract：
The eigenstates of the second power of the annihilation operator of the twoparameter deformed harmonic oscillator are constructed, and their completeness is demonstrated in terms of the qs-integration.

References

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E.K.Sklynin,Funct.Anal.Appl.,16（1982）262.[2]P.P.KulishN.Y.Reshetikhin,J.Sov.Math.,23（1983）2435.[3]A.J,Macfarlane,J.Phys,A22（1989）4581.[4]L.C.Biedenharn,J.Phys.,A22（1989）L873.[5]R.J.Glauber,Phys.Rev.Lett.,10（1963）84.[6]R,W.GrayC.A.Neison,J.Phys.,A23（1990）L945.[7]E.E.Demidov,Yu.I.Manin,E.E.MukinD.z.Zhdanovich,Prog.Theor.Phys.Supp.,102（1990）302.[8]A.Sudbery,J.Phys.,A23（1990）,L697.[9]A.Schirrmacher,J.Wess,B.Zumino,Z.Phys.,C49（1991）317.[10]C.Burdik,L.Hlavaty.J.Phys,A24（1991）165.[11]R.Chakrabarti R.Jagannathan,J.Phys.,A24（1991）L711.[12]S.Jing:Mod.Phys.lett.,AS（1993）543.[13]周焕强、张新明、贺劲松，私人通讯。[14]M.Hillery,Phys.Rev.,A36（1987）3796.

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Zhou Huanqiang, He Jingsong and Zhang Xinming. Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 1995, 19(3): 251-257.

Zhou Huanqiang, He Jingsong and Zhang Xinming. Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 1995, 19(3): 251-257. shu

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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

Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Corresponding author: Zhou Huanqiang,

Department of Physics, Sichuan Normal University, Chengdu, 610066

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-03-05

Abstract: The eigenstates of the second power of the annihilation operator of the twoparameter deformed harmonic oscillator are constructed, and their completeness is demonstrated in terms of the qs-integration.