dc.contributor.author Ourmières-Bonafos T. en_US dc.contributor.author Pankrashkin K. en_US dc.contributor.author Pizzichillo F. en_US dc.date.accessioned 2017-09-16T07:44:35Z dc.date.available 2017-09-16T07:44:35Z dc.date.issued 2017 dc.identifier.issn 0022-247X dc.identifier.uri http://hdl.handle.net/20.500.11824/731 dc.description.abstract We 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.format application/pdf en_US dc.language.iso eng en_US dc.publisher Journal of Mathematical Analysis and Applications en_US dc.relation info:eu-repo/grantAgreement/EC/H2020/669689 en_US dc.relation ES/1PE/SEV-2013-0323 en_US dc.relation ES/1PE/MTM2014-53145-P en_US dc.relation EUS/BERC/BERC.2014-2017 en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Schrödinger operator en_US dc.subject $\delta$-interaction en_US dc.subject conical surface en_US dc.subject eigenvalue en_US dc.subject asymptotic analysis en_US dc.title Spectral asymptotics for $\delta$-interactions on sharp cones en_US dc.type info:eu-repo/semantics/article en_US
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