A system of Schrödinger equations in a wave guide-Reference-Cited by-同舟云学术

A system of Schrödinger equations in a wave guide

Published:2023-11-01 Issue:11 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Ayechi Radhia¹^ORCID,Boukhris Ilhem¹^ORCID,Royer Julien²^ORCID

Affiliation:

1. LAMMDA – Université de Sousse – ESST Hammam Sousse – Rue Lamine El Abbessi 1 , Hammam Sousse 4011, Tunisia

2. Institut de Mathématiques de Toulouse – UMR 5219 – Université Toulouse 3, CNRS – UPS 2 , F-31062 Toulouse Cedex 9, France

Abstract

We consider a system of Schrödinger equations in a wave guide, with coupling and damping at the boundary. It is related to the same problem on the one-dimensional cross-section. We prove in particular that we have a spectral gap and exponential decay of the energies for these problems. For the transverse problem we also study the localization of the eigenvalues and prove that the corresponding generalized eigenfunctions form a Riesz basis.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0147011/18202101/111507_1_5.0147011.pdf

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