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dc.contributor.authorOurmières-Bonafos T.en_US
dc.contributor.authorPankrashkin K.en_US
dc.contributor.authorPizzichillo F.en_US
dc.date.accessioned2017-09-16T07:44:35Z
dc.date.available2017-09-16T07:44:35Z
dc.date.issued2017
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/731
dc.description.abstractWe investigate the spectrum of three-dimensional Schr\"odinger operators with $\delta$-interactions of constant strength supported on circular cones. As shown in earlier works, such operators have infinitely many eigenvalues below the threshold of the essential spectrum. We focus on spectral properties for sharp cones, that is when the cone aperture goes to zero, and we describe the asymptotic behavior of the eigenvalues and of the eigenvalue counting function. A part of the results are given in terms of numerical constants appearing as solutions of transcendental equations involving modified Bessel functions.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherJournal of Mathematical Analysis and Applicationsen_US
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.relationES/1PE/SEV-2013-0323en_US
dc.relationES/1PE/MTM2014-53145-Pen_US
dc.relationEUS/BERC/BERC.2014-2017en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectSchrödinger operatoren_US
dc.subject$\delta$-interactionen_US
dc.subjectconical surfaceen_US
dc.subjecteigenvalueen_US
dc.subjectasymptotic analysisen_US
dc.titleSpectral asymptotics for $\delta$-interactions on sharp conesen_US
dc.typeinfo:eu-repo/semantics/articleen_US


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