On a class of anisotropic asymptotically periodic Hamiltonians

Olivier Rodot

doi:10.1016/S1631-073X(02)02301-4

On a class of anisotropic asymptotically periodic Hamiltonians
[Hamiltoniens anisotropes asymptotiquement périodiques]

Olivier Rodot ¹

¹ Département de mathématiques, Université de Cergy-Pontoise, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France

Comptes Rendus. Mathématique, Volume 334 (2002) no. 7, pp. 575-579

Abstract (VO)
Résumé

We construct a $C^{*}$ -algebra $ℭ$ proper to an anisotropic asymptotically periodic quantum system and we compute its quotient by the algebra of compact operators. We describe then the self-adjoint operators affiliated to $ℭ$ and their essential spectrum.

Nous construisons une $C^{*}$ -algèbre $ℭ$ adaptée au traitement des systèmes quantiques anisotropes asymptotiquement périodiques et nous calculons son quotient par l'algèbre des opérateurs compacts. Nous décrivons alors les opérateurs auto-adjoints affiliés à $ℭ$ et leurs spectres essentiels.

Reçu le : 2002-01-25
Accepté le : 2002-02-04
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02301-4

Affiliations des auteurs :

Olivier Rodot ¹

¹ Département de mathématiques, Université de Cergy-Pontoise, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France

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     author = {Olivier Rodot},
     title = {On a class of anisotropic asymptotically periodic {Hamiltonians}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {575--579},
     year = {2002},
     publisher = {Elsevier},
     volume = {334},
     number = {7},
     doi = {10.1016/S1631-073X(02)02301-4},
     language = {en},
}

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Olivier Rodot. On a class of anisotropic asymptotically periodic Hamiltonians. Comptes Rendus. Mathématique, Volume 334 (2002) no. 7, pp. 575-579. doi: 10.1016/S1631-073X(02)02301-4

Bibliographie
Cité par

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