Exponential estimates for quantum graphs

Date

2018-09-10

Authors

Akduman, Setenay
Pankov, Alexander

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrödinger operators on infinite metric graphs. We strengthen the result obtained in [3] providing a bound for the rate of exponential localization in terms of the distance between the eigenvalue and the essential spectrum. In particular, if the spectrum is purely discrete, then the eigenfunctions decay super-exponentially.

Description

Keywords

Infinite metric graph, Schrödinger operator, Eigenfunction, Exponential decay

Citation

Akduman, S., & Pankov, A. (2018). Exponential estimates for quantum graphs. <i>Electronic Journal of Differential Equations, 2018</i>(162), pp. 1-12.

Rights

Attribution 4.0 International

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