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The general anharmonicx 2q+2 damped oscillator and the coherent state representation

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Abstract

We obtain here a perturbative solution of the generalx 2q+2 anharmonic damped oscillator in the coherent state representation. The solution does not contain any secular term and shows, explicitly, the damping and the anharmonic effects.

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References

  1. HioeF.T., MacMillanD., and MontrollE.W.,J. Math. Phys. 17 1320 (1976) and the references contained in this paper.

    Google Scholar 

  2. HellmannR.H.G., and MontrollE.W.,Physica 74, 22 (1974); Mizushima, M.,J. Math. Phys. 12, 2216 (1971); Mendelson, K.,ibid. 11, 3413 (1970).

    Google Scholar 

  3. DuttR.,Phys. Lett. 59A, 345 (1976).

    Google Scholar 

  4. CrosignaniB., PortoP.D., and SolimenoS.,Phys. Lett. 28A, 271 (1968); Malkin, I.A., et. al.,ibid. 30A, 414 (1969); Malkin, I.A.,J. Math. Phys. 14, 576 (1973); Hioe, F.T.,ibid. 15, 445, 1174 (1974).

    Google Scholar 

  5. BhaumikK., and Dutta-RoyB.,J. Math. Phys. 16, 1131 (1975); Dutt, R., and Lakshmanan, M.,ibid. 17, 482 (1976).

    Google Scholar 

  6. BoseS.K.,Phys. Lett. 56A, 158 (1976); Bose, S.K., and Tripathy, D.N.,J. Math. Phys. (Dec. issue 1978).

    Google Scholar 

  7. MinorskyR.,Nonlinear Oscillations, Van Nostrand, Princeton, N.J., 1962; Nayfeh, A.H.,Perturbation Methods, Wiley, New York, 1973; Dingle, R.B.,Asymptotic Expansions, Academic Press, London, 1973.

    Google Scholar 

  8. HsiehD.Y.,J. Math. Phys. 16, 275 (1975); Buch, L.H., and Denman, H.H.,Phys. Rev. 11D, 279 (1975);J. Math. Phys. 14, 326 (1973).

    Google Scholar 

  9. GlauberR.J.,Phys. Rev. 131, 2766 (1963); Klauder, J.R., and Sudarshan, E.C.G.,Fundamentals of Quantum Optics, W.A. Benjamin, Inc., New York, 1968.

    Google Scholar 

  10. BoseS.K.,Am. J. Phys. 46, 938 (1978).

    Google Scholar 

  11. KostinM.D.,J. Chem. Phys. 57, 3589 (1972); Kan, K.K., and Griffin, J.J.,Phys. Lett. 50B, 241 (1974); Albrecht, K.,ibid. 56B, 127 (1975); Hasse, R.W.,J. Math. Phys. 16, 2005 (1975).

    Google Scholar 

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Bose, S.K. The general anharmonicx 2q+2 damped oscillator and the coherent state representation. Lett Math Phys 3, 259–264 (1979). https://doi.org/10.1007/BF01821844

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  • DOI: https://doi.org/10.1007/BF01821844

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