Exponential estimates for quantum graphs

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dc.contributor.authorAkduman, Setenay
dc.contributor.authorPankov, Alexander
dc.date.accessioned2022-03-07T21:33:36Z
dc.date.available2022-03-07T21:33:36Z
dc.date.issued2018-09-10
dc.description.abstractThe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAkduman, S., & Pankov, A. (2018). Exponential estimates for quantum graphs. <i>Electronic Journal of Differential Equations, 2018</i>(162), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15456
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectInfinite metric graph
dc.subjectSchrödinger operator
dc.subjectEigenfunction
dc.subjectExponential decay
dc.titleExponential estimates for quantum graphs
dc.typeArticle

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