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On the classical limit of the Kepler problem

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Abstract

We introduce coherent states on the dynamical group of the nonrelativistic Kepler (hydrogen atom) problem. In the limit of high excitation these states are well concentrated wavepackets which move along classical trajectories.

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References

  1. PercivalI.C. in The Physics of One-and-Two Electron Atoms (ed. by F.Bopp and H.Kleinpoppen), North Holland, Amsterdam 1969, p. 252.

    Google Scholar 

  2. GlauberR.J., Phys. Rev. 131, 2766 (1963).

    Google Scholar 

  3. ArecchiF.T., CourtensE., GilmoreA., and ThomasH., Phys. Rev. A 6, 2211 (1972).

    Google Scholar 

  4. BhaumikD., NagT., and Dutta-RoyB., J. Phys. A 8, 1868 (1975).

    Google Scholar 

  5. Biaŀynicki-BirulaI., Ann. Phys. 67, 252 (1971).

    Google Scholar 

  6. DucloyM., J. Phys. Paris 36, 927 (1975).

    Google Scholar 

  7. GilmoreR., BowdenC.M., and NarducciL.M., Phys. Rev. A 12, 1019 (1975).

    Google Scholar 

  8. RadcliffeJ.M., J. Phys. A 4, 313 (1971).

    Google Scholar 

  9. DoktorovE.V., MalkinI.A., and Man'koV.I., Int. J. Quant. Chem. 9, 951 (1976).

    Google Scholar 

  10. MostowskiJ., Phys. Letters A 56, 369 (1976)

    Google Scholar 

  11. BrownL.S., Am. J. Phys. 41, 525 (1973).

    Google Scholar 

  12. BarutA.O. and KleinertH., Phys. Rev. 156, 1541 and 1546 (1967).

    Google Scholar 

  13. PerelomovA.M., Comm. Math. Phys. 26, 222 (1972).

    Google Scholar 

  14. BarutA.O., Dynamical Groups and Generalized Symmetries in Quantum Theory, University of Canterbury, New Zealand 1972.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668, Warsaw, Poland

    Jan Mostowski

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  1. Jan Mostowski
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Mostowski, J. On the classical limit of the Kepler problem. Lett Math Phys 2, 1–5 (1977). https://doi.org/10.1007/BF00420663

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  • DOI: https://doi.org/10.1007/BF00420663

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