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Level statistics for asymmetric-top rotors in strong electric fields

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

Spectral fluctuations of energy levels of an asymmetric-top rotor in strong electric fields are studied. Transition from a Wigner distribution for low excitation levels to a Poisson distribution for high excitation levels is found in an analysis of the nearest neighbour spacing distribution. Spectral rigidity Δ 3 undergoes an analogous type of transition. Consequences on the underlying classical motion are discussed.

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References

  1. Brody, T.A., Flores, J., French, J.B., Mello, P.A., Pandey, A., Wong, S.S.M.: Rev. Mod. Phys. 53, 358 (1981)

    Article  MathSciNet  Google Scholar 

  2. Eckhardt, B.: Phys. Rep. B 163, 205 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  3. Berry, M.V., Tabor, M.: Proc. R. Soc. London, 356, 375 (1977)

    Google Scholar 

  4. Wigner, E.P.: SIAM Rev. 9, 1 (1967)

    Article  MATH  ADS  Google Scholar 

  5. Bohigas, O., Giannoni, M.J., Schmit, C.: Phys. Rev. Lett. 52, 1 (1984)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Seligman, S.H., Verbaarschot, J.J.M., Zirnbauer, M.R.: J. Phys. A 18, 2751 (1985)

    MathSciNet  ADS  Google Scholar 

  7. Wintgen, D., Friedrich, H.: Phys. Rev. Lett. 57, 571 (1986)

    Article  ADS  Google Scholar 

  8. Delande, D., Gay, J.C.: Phys. Rev. Lett. 57, 2006 (1986)

    Article  ADS  Google Scholar 

  9. Wunner, G., Woelk, U., Zech, I., Zeller, G., Ertl, T., Geyer, F., Schweitzer, W., Ruder, H.: Phys. Rev. Lett. 57, 3261 (1986)

    Article  ADS  Google Scholar 

  10. West, B.G., Mizushima, M.: J. Chem. Phys. 38, 251 (1963)

    Article  ADS  Google Scholar 

  11. Takayanagi, K.: Phys. Soc. Jpn. 45, 976 (1978)

    Article  ADS  Google Scholar 

  12. Quack, M., Troe, J.: Ber. Bunsenges. Phys. Chem. 78, 240 (1974)

    Article  Google Scholar 

  13. Clary, D.: Mol. Phys. 53, 3 (1984)

    Article  ADS  Google Scholar 

  14. Bates, D.R., Morgan, W.L.: J. Chem. Phys. 87, 2611 (1987)

    Article  ADS  Google Scholar 

  15. Dubernet, M.L., McCarroll, R.: Z. Phys. D 13, 255 (1989)

    ADS  Google Scholar 

  16. Dubernet, M.L., Gargaud, M., McCarroll, R.: Astron. Astrophys. 259, 376 (1992)

    ADS  Google Scholar 

  17. Sakimoto, K.: Chem. Phys. 68, 155 (1982)

    Article  ADS  Google Scholar 

  18. Dubernet, M.L., McCarroll, R.: Z. Phys. D 15, 333 (1990)

    ADS  Google Scholar 

  19. Landau, L.D., Lifschitz, E.M.: Quantum mechanics: non-relativistic theory, Chap. 103. Oxford: Pergamon Press 1977

    Google Scholar 

  20. Berry, M.V., Robnik, M.: J. Phys. A 17, 2413 (1984)

    MathSciNet  ADS  Google Scholar 

  21. Dyson, F.J., Mehta, M.L.: J. Math. Phys. 4, 701 (1963)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  22. Berry, M.V.: Proc. R. Soc. London. A 400, 229 (1985)

    Article  ADS  Google Scholar 

  23. Landau, L.D., Lifshitz, E.M.: Mechanics Pergamon Press 1977

    Google Scholar 

  24. Komarov, I.V.: J. Phys. A 15, 1765 (1982)

    MathSciNet  ADS  Google Scholar 

Download references

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Author notes

  1. T. P. Grozdanov

    Present address: Institute of Physics, P.O. Box 57, 11001, Belgrade, Yugoslavia

Authors and Affiliations

  1. Laboratoire de Dynamique Moléculaire et Atomique, CNRS et Université Pierre et Marie Curie, 4 Place Jussieu, F-75252, Paris Cedex 05, France

    T. P. Grozdanov & R. McCarroll

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  1. T. P. Grozdanov
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  2. R. McCarroll
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Grozdanov, T.P., McCarroll, R. Level statistics for asymmetric-top rotors in strong electric fields. Z Phys D - Atoms, Molecules and Clusters 38, 45–49 (1996). https://doi.org/10.1007/s004600050062

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  • DOI: https://doi.org/10.1007/s004600050062

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