Approximation discret de la Densite d etat surfacique pour un operateur de Schrodinger surfacique presque periodique

TL;DR

This paper proves that the surface state density of a nearly periodic discrete Schrödinger operator converges weakly to the continuous surface state density, bridging discrete and continuous spectral analysis.

Contribution

It establishes the weak convergence of the surface state density from discrete to continuous Schrödinger operators in a nearly periodic setting.

Findings

Weak convergence of surface state density proven

Discrete operator density approaches continuous density

Provides theoretical foundation for spectral analysis

Abstract

On va montrer que la densite d etat surfacique de de l operateur de Schrodinger presque periodique discret converge faiblement vers la Densite d etat surfacique continue .