Large time, small coupling behaviour of a quantum particle in a random field

G. F. Dell'Antonio

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 39, Issue: 4, page 339-384
  • ISSN: 0246-0211

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Dell'Antonio, G. F.. "Large time, small coupling behaviour of a quantum particle in a random field." Annales de l'I.H.P. Physique théorique 39.4 (1983): 339-384. <http://eudml.org/doc/76218>.

@article{DellAntonio1983,
author = {Dell'Antonio, G. F.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {van Hove limit; asymptotic time evolution; Markov limit; Schrödinger equation},
language = {eng},
number = {4},
pages = {339-384},
publisher = {Gauthier-Villars},
title = {Large time, small coupling behaviour of a quantum particle in a random field},
url = {http://eudml.org/doc/76218},
volume = {39},
year = {1983},
}

TY - JOUR
AU - Dell'Antonio, G. F.
TI - Large time, small coupling behaviour of a quantum particle in a random field
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 39
IS - 4
SP - 339
EP - 384
LA - eng
KW - van Hove limit; asymptotic time evolution; Markov limit; Schrödinger equation
UR - http://eudml.org/doc/76218
ER -

References

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  2. N. Shapiro, J. E. T. P. Letters, t. 2, 1965, p. 291. 
  3. N. Van Kampen, Phys. Rep., t. 24, 1976, p. 171. MR676489
  4. [2] G. Papanicolau, S. Varadhan, Comm. Pure Appl. Math., t. 26, 1973, p. 497. Zbl0253.60065MR383530
  5. E. Davies, Comm. Math. Phys., t. 39, 1974, p. 91. Zbl0294.60080MR359633
  6. [3] H. Kesten, G. Papanicolau, Comm. Math. Phys., t. 78, 1980, p. 19. Zbl0454.60007MR597029
  7. G.F. Dell'Antonio, in preparation. 
  8. [4] L. Van Hove, Physica, t. 21, 1955, p. 517. MR71346
  9. L. Van Hove, Physica, t. 23, 1957, p. 441. Zbl0079.19405MR89576
  10. [5] G. Emch, P. Martin, Helv. Phys. Acta, t. 48, 1975, p. 59. MR421536
  11. [6] H. Spohn, J. Stat. Physics, t. 17, 1977, p. 6. Zbl0964.82508MR471824
  12. [7] R. Strichartz, Duke Math. Journ., t. 44, 1977, p. 704. MR512086
  13. [8] Ph. Combe et al., Poisson processes on groups and Feynmann Path Integrals, Preprint, Marseille 79/1139. 
  14. [9] M. Donsker, S. Varadhan, Comm. Pure Appl. Math., t. 28, 1975, p. 1. Zbl0323.60069MR386024
  15. [10] G.F. Dell'Antonio, Proceedings 81 Marseille Conference, Springer Verlag, in press. 

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