Comptes Rendus
Functional Analysis/Mathematical Physics
Asymptotic velocity for fibered Hamiltonians
[Sur la vitesse asymptotique des hamiltoniens fibrés]
Comptes Rendus. Mathématique, Volume 348 (2010) no. 9-10, pp. 559-564.

On prouve l'existence de la vitesse asymptotique pour une large classe d'hamiltoniens fibrés.

We show the existence of the asymptotic velocity for a large class of Hamiltonians with a fibered structure.

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Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.03.010

Mondher Damak 1 ; Andrei Iftimovici 2

1 University of Sfax, B.P. 802, 3018 Sfax, Tunisia
2 University of Cergy-Pontoise, Department of Mathematics, CNRS, UMR 8088, 95000 Cergy-Pontoise, France
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     author = {Mondher Damak and Andrei Iftimovici},
     title = {Asymptotic velocity for fibered {Hamiltonians}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {559--564},
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     year = {2010},
     doi = {10.1016/j.crma.2010.03.010},
     language = {en},
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Mondher Damak; Andrei Iftimovici. Asymptotic velocity for fibered Hamiltonians. Comptes Rendus. Mathématique, Volume 348 (2010) no. 9-10, pp. 559-564. doi : 10.1016/j.crma.2010.03.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.03.010/

[1] W. Amrein; A. Boutet de Monvel; V. Georgescu C0-groups, Commutator Methods and Spectral Theory of N-body Hamiltonians, Birkhäuser Verlag, 1996

[2] N. Bourbaki Eléments de mathématique : Intégration, Ch. VII, Hermann, Paris, 1967

[3] J. Dereziński Algebraic approach to the N-body long range scattering, Rev. Math. Phys., Volume 3 (1991) no. 1, pp. 1-62

[4] J. Dereziński; C. Gérard Scattering Theory of Classical and Quantum N-particle Systems, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1997 (xii+444 pp)

[5] C. Gérard; F. Nier The Mourre theory for analytically fibered operators, J. Funct. Anal., Volume 152 (1998) no. 1, pp. 202-219

[6] B. Helffer; J. Sjöstrand Equation de Schrödinger avec champ magnétique et équation de Harper, Sonderborg, 1988 (Lecture Notes in Phys.), Volume vol. 345, Springer, Berlin (1989), pp. 118-197

[7] T. Kato Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1966

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