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Theses

ETUDE DE LA DENSITE D'ETATS SURFACIQUES DE CERTAINS OPéRATEURS DE SCHRöDINGER.

Abstract : In this thesis, we are interested in the study of the integrated density of surface states of the almost periodic Schrödinger operators, of the Anderson type and of the N-body problem. We begin the first chapter by establishing one result on the approximation of the spectrum of the Schrödinger continuum operator by the spectrum of the analogous discrete operator. Then we establish a relation then between the spectrum and the support of the integrated density of surface states. In the second chapter we prove that the integrated density of surface states of the Anderson model is the limit of the discrete integrated density of surface states. These results are made general in the fourth chapter. In the third chapter we establish some estimates of reduction off the diagonal and estimates of perturbation effects of the potential in the norm of the trace operators. The last chapter addresses the N-body problem from a general point of view.
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https://tel.archives-ouvertes.fr/tel-00339649
Contributor : Boutheina Souabni <>
Submitted on : Tuesday, November 18, 2008 - 2:58:40 PM
Last modification on : Wednesday, December 9, 2020 - 3:10:38 PM
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  • HAL Id : tel-00339649, version 1

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Boutheina Souabni. ETUDE DE LA DENSITE D'ETATS SURFACIQUES DE CERTAINS OPéRATEURS DE SCHRöDINGER.. Mathématiques [math]. Université Paris-Diderot - Paris VII, 2008. Français. ⟨tel-00339649⟩

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