On a class of anisotropic asymptotically periodic Hamiltonians
[Hamiltoniens anisotropes asymptotiquement périodiques]
Rodot, Olivier1
1 Département de mathématiques, Université de Cergy-Pontoise, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
Comptes Rendus. Mathématique, Tome 334 (2002) no. 7, pp. 575-579.

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.

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.

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DOI : 10.1016/S1631-073X(02)02301-4
Rodot, Olivier 1

1 Département de mathématiques, Université de Cergy-Pontoise, 2, avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France 
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Rodot, Olivier. On a class of anisotropic asymptotically periodic Hamiltonians. Comptes Rendus. Mathématique, Tome 334 (2002) no. 7, pp. 575-579. doi : 10.1016/S1631-073X(02)02301-4. http://www.numdam.org/articles/10.1016/S1631-073X(02)02301-4/

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