Spectral Analysis of Schrödinger Operators with Unusual Semiclassical Behavior

In this paper we discuss several examples of Schrödinger operators describing a particle confined to a region with thin cusp-shaped ‘channels’, given either by a potential or by a Dirichlet boundary; we focus on cases when the allowed phase space is infinite but the operator still has a discrete spe...

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Bibliographic Details
Main Authors: Pavel Exner, Diana Barseghyan
Format: Article
Language:English
Published: CTU Central Library 2013-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1801