Densite d'etat surfacique pour une classe d'operateurs de Schrodinger du type a N-corps

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dc.creatorSouabni, Boutheina
dc.date2005-10-27
dc.date.accessioned2026-07-07T06:47:05Z
dc.date.available2026-07-07T06:47:05Z
dc.descriptionWe are interested in quantum systems composed of a finite number of particles and described by Hamiltonians which are random Schrodinger operators $H^ω:=-Δ+ V^ω $ on $L^2(X)$, where $X$ is a finite dimensional Euclidean space and $Δ$ is the Laplace-Beltrami operator on $X$. We consider $X$ as the configuration space of the system and we assume that $\{X_n\}_{1\leqslant n \leqslant N_0}$ is a family of linear subspaces of $X$. The orthogonal complement of $X_n$ in $X$ is denoted $X^{n}$ and is considered as the configuration space of a subsystem. We assume that $V^ω$ is a sum of potentials $v_n^ω: X \longrightarrow \R,\quad 1\leqslant n \leqslant N_0,$ which are ergodic with respect the translation group of $X_n$ and which are rapidly decaying in any direction of $X^{n}.$ The aim of this paper is to show the existence of a thermodynamical limit. This limit defines an object which is a type of a the integrated density of states in the case of two body systems.
dc.descriptionWe prove the existence of a thermodynamical limit of the integrated density of states in the tow body system
dc.identifierhttps://arxiv.org/abs/math-ph/0510089
dc.identifierhttp://arxiv.org/abs/math-ph/0510089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103542
dc.subjectMathematical Physics
dc.subject35J10; 81Q10
dc.titleDensite d'etat surfacique pour une classe d'operateurs de Schrodinger du type a N-corps
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