Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with holes

Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with holes

In this article we consider a closed Riemannian manifold (M,g) and A a subset of M. The purpose of this article is the comparison between the eigenvalues of a Schrodinger operator on the manifold (M,g) and the eigenvalues on the manifold (M-A,g) with Dirichlet boundary conditions.

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Veröffentlicht in:arXiv.org 2013-09
1. Verfasser: Lablée, Olivier
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Brownian motion
Dirichlet problem
Eigenvalues
Operators (mathematics)
Riemann manifold
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Zusammenfassung:In this article we consider a closed Riemannian manifold (M,g) and A a subset of M. The purpose of this article is the comparison between the eigenvalues of a Schrodinger operator on the manifold (M,g) and the eigenvalues on the manifold (M-A,g) with Dirichlet boundary conditions.
ISSN:2331-8422