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