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

  • 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.
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  • [1] 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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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

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.

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