Recurrent versus diffusive dynamics for a kicked quantum oscillator

M. Combescure

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 57, Issue: 1, page 67-87
  • ISSN: 0246-0211

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Combescure, M.. "Recurrent versus diffusive dynamics for a kicked quantum oscillator." Annales de l'I.H.P. Physique théorique 57.1 (1992): 67-87. <http://eudml.org/doc/76579>.

@article{Combescure1992,
author = {Combescure, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {diffusion; quantum oscillator; quantum chaos},
language = {eng},
number = {1},
pages = {67-87},
publisher = {Gauthier-Villars},
title = {Recurrent versus diffusive dynamics for a kicked quantum oscillator},
url = {http://eudml.org/doc/76579},
volume = {57},
year = {1992},
}

TY - JOUR
AU - Combescure, M.
TI - Recurrent versus diffusive dynamics for a kicked quantum oscillator
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 57
IS - 1
SP - 67
EP - 87
LA - eng
KW - diffusion; quantum oscillator; quantum chaos
UR - http://eudml.org/doc/76579
ER -

References

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  1. [1] J.E. Bayfield and P.M. Koch, Phys. Rev. Lett., Vol. 33, 1974, p. 258. 
  2. [2] J.G. Leopold and I.C. Percival, Phys. Rev. Lett., Vol. 41, 1978, p. 944. 
  3. [3] G. Casati, B.V. Chirikov and D.L. Shepelyanski, Phys. Rev. Lett., Vol. 53, 1984, p. 2525. 
  4. [4] R. Jensen, Phys. Rev. Lett., Vol. 49, 1982, p. 1365. 
  5. [5] S. Washburn and R.A. Webb, Adv. Phys., Vol. 35, 1986, p. 375. 
  6. [6] J. Moser, Stable and random motions in dynamical systems, Annals of Math. Studies, Princeton Univ. Press, Princeton, 1973. Zbl0271.70009MR442980
  7. [7] G. Casati, B.V. Chirikov, D.L. Shepelyanski and I. Guarneri, Phys. Rep., Vol. 154, 1987, p. 77. 
  8. [8] G. Casati and L. Molinari, Progr. Theo. Phys. Suppl., Vol. 98, 1989, p. 287. MR1033467
  9. [9] S. Fishman, D.R. Grempel and R.E. Prange, Phys. Rev. Lett., Vol. 49, 1982, p. 509. MR669169
  10. [10] M. Combescure, J. Stat. Phys., Vol. 59, 1990, p. 679. Zbl0713.58044MR1063177
  11. [11] I. Guarneri, Lett. Nuovo Cimento, Vol. 40, 1984, p. 171. MR755105
  12. [12] M. Queffelec, Substitution Dynamical Systems. Spectral Analysis, Springer, Berlin, 1987. Zbl0642.28013MR924156
  13. [13] B. Dorizzi, B. Grammaticos and Y. Pomeau, J. Stat. Phys., Vol. 37, 1984, p. 93. MR774886
  14. [14] T. Hogg and B.A. Huberman, Phys. Rev. Lett., Vol. 48, 1982, p. 711. MR647749
  15. [15] P.W. Milonni, J.R. Ackerhalt and M.E. Goggin, Phys. Rev. A, Vol. 35, 1987, p. 1714. MR879246
  16. [16] Y. Pomeau, B. Dorizzi and B. Grammaticos, Phys. Rev. Lett., Vol. 56, 1986, p. 681. MR827933
  17. [17] K. Rzazewski and J. Mostowski, Phys. Rev. A, Vol. 35, 1987, p. 4414. MR892454
  18. [18] J.M. Luck, H. Orland and U. Smilansky, J. Stat. Phys., Vol. 53, 1988, p. 551. MR980148
  19. [19] B. Sutherland, Phys. Rev. Lett., Vol. 57, 1986, p. 770. 
  20. [20] M. Combescure, J. Stat. Phys., Vol. 62, 1991, issue 3-4. Zbl0746.11014
  21. [21] L. Bunimovich, H.R. Jauslin, J.J. Lebowitz, A. Pellegrinotti and P. Nielaba, J. Stat. Phys., 1991. Zbl0741.70017
  22. [22] G.A. Hagedorn, M. Loss and J. Slawny, J. Phys. A, Vol. 19, 1986, p. 521. Zbl0601.70013MR833433
  23. [23] T. Kato, J. Fac. Sci. Univ. Tokyo, Sect. I, Vol. 17, 1970, p. 241. Zbl0222.47011MR279626
  24. [24] J. Piepenbrink, Pulsed Quantum Mechanical Hamiltonians, West Georgia College preprint, 1990. 
  25. [25] I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series and Products, Academic Press Inc., 1965. Zbl0918.65002
  26. [26] Y.S. Chow and H. Teicher, Probability Theory, Springer, Berlin-Heidelberg- New York, 1978. Zbl0399.60001MR513230
  27. [27] W. Stout, Almost Sure Convergence, Academic Press, New York, 1974. Zbl0321.60022MR455094
  28. [28] A.N. Shiryayev, Probability, Springer, Berlin-Heidelberg-New York, 1984. 
  29. [29] R. Blümel, R. Meir and U. Smilansky, Phys. Lett., Vol. 103 A, 1984, p. 353. 
  30. [30] B. Milek and P. Seba, Phys. Rev. A, Vol. 42, 1990, pp. 3213-3220. MR1072316
  31. [31] B. Saffari, C. R. Acad. Sci. Paris, T. 304, 1987, pp. 127-130. Zbl0608.10052MR880114
  32. [32] B. Saffari, Barker Sequences and Littlewood's "Two-Sided Conjectures" on Polynomials with ± 1 Coefficients, Orsay review article, 1990. Zbl0739.11030

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