Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban

Jean Lacroix

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 1, page 97-116
  • ISSN: 0246-0211

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Lacroix, Jean. "Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban." Annales de l'I.H.P. Physique théorique 40.1 (1984): 97-116. <http://eudml.org/doc/76227>.

@article{Lacroix1984,
author = {Lacroix, Jean},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {finite difference Schrödinger operator; random potential; exponentially decaying eigenvectors; symplectic group},
language = {fre},
number = {1},
pages = {97-116},
publisher = {Gauthier-Villars},
title = {Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban},
url = {http://eudml.org/doc/76227},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Lacroix, Jean
TI - Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 1
SP - 97
EP - 116
LA - fre
KW - finite difference Schrödinger operator; random potential; exponentially decaying eigenvectors; symplectic group
UR - http://eudml.org/doc/76227
ER -

References

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  1. [1] J. Lacroix, Singularité du Spectre de l'opérateur de Schrödinger aléatoire dans un ruban ou un demi-ruban, Ann. Inst. Henri Poincaré, Sect. A; t. XXXVIII, n° 4, 1983. Zbl0515.60067
  2. [2] J. Lacroix, Problèmes probabilistes liés à l'étude des opérateurs aux différences aléatoires, Annales de l'Institut Élie Cartan, Nancy, n° 7. Zbl0495.60068
  3. [3] H. Furstenberg and I. Izkoni, Spherical functions and integrals geometry, Israël, J. Math., t. 10, 1971. Zbl0288.53049MR301682
  4. [4] Symetric Spaces « G/K », Pure and applied Mathematics Series, t. 8, 1972. 
  5. [5] Hua, Harmonic analysis of functions of several complex variables in the classical domains, A. M. S. Providence Transl. of Math. Monographs, t. 6. Zbl0112.07402
  6. [6] Atkinson, Discrete and continuous boundary problems, N. Y. Academic Press, 1964. Zbl0117.05806MR176141
  7. [7] Kunz and Souillard, Sur le spectre des opérateurs aux différences finies aléatoires, Commun. Math. Phys., t. 78, 1980, p. 201-246. Zbl0449.60048MR597748
  8. [8] Gold'sheid, Molchanov, Pastur, A pure point spectrum of the stochastic one dimensional Schrödinger operator, Funct. Anal. Appl., t. 11, 1977. Zbl0368.34015
  9. [9] Kato, Perturbation theory for liear operators, Springer, 1966. Zbl0148.12601
  10. [10] Tutubalin, On limit theorems for the product of random matrices, Theory of Proba. Applic., t. 10, 1965. Zbl0147.17105
  11. [11] Gold'sheid, The structure of the Schrôdinger random difference operator, Soviet Math. Dokl., t. 22, n° 3, 1980. 

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