A singular one-dimensional bound state problem and its degeneracies

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dc.authorid0000-0002-4378-9684en_US
dc.contributor.authorErman, F
dc.contributor.authorGadella, M
dc.contributor.authorTunalı, Seçil
dc.contributor.authorUncu, H
dc.date.accessioned2021-05-03T11:24:52Z
dc.date.available2021-05-03T11:24:52Z
dc.date.issued2017-08-01
dc.description.abstractWe give a brief exposition of the formulation of the bound state problem for the one-dimensional system of N attractive Dirac delta potentials, as an N× N matrix eigenvalue problem (?A= ?A). The main aim of this paper is to illustrate that the non-degeneracy theorem in one dimension breaks down for the equidistantly distributed Dirac delta potential, where the matrix ? becomes a special form of the circulant matrix. We then give elementary proof that the ground state is always non-degenerate and the associated wave function may be chosen to be positive by using the Perron-Frobenius theorem. We also prove that removing a single center from the system of N delta centers shifts all the bound state energy levels upward as a simple consequence of the Cauchy interlacing theorem. © 2017, Società Italiana di Fisica and Springer-Verlag GmbH Germany.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.1140/epjp/i2017-11613-7en_US
dc.identifier.issn2190-5444
dc.identifier.scopus2-s2.0-85027886267en_US
dc.identifier.urihttps://hdl.handle.net/11411/3612
dc.identifier.urihttps://doi.org/10.1140/epjp/i2017-11613-7
dc.identifier.wosWOS:000407709000002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.issue8en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors4en_US
dc.publisherSpringer Verlagen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleA singular one-dimensional bound state problem and its degeneraciesen_US
dc.typeArticleen_US
dc.volume132en_US

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