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dc.contributor.author
Beneventano, Carlota Gabriela
dc.contributor.author
Fialkovsky, I. V.
dc.contributor.author
Santangelo, Eve Mariel
dc.date.available
2018-08-14T22:01:59Z
dc.date.issued
2016-04
dc.identifier.citation
Beneventano, Carlota Gabriela; Fialkovsky, I. V.; Santangelo, Eve Mariel; Zeros of combinations of Bessel functions and the mean charge of graphene nanodots; Springer; Theoretical And Mathematical Physics; 187; 1; 4-2016; 497-510
dc.identifier.issn
0040-5779
dc.identifier.uri
http://hdl.handle.net/11336/55532
dc.description.abstract
We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeros of the Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry–Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss its dependence on the gate (chemical) potential in detail and also comment on the effect of temperature.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Bessel Function
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Circular Billiard
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Graphene
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Quantum Nanodot
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Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-31T17:37:00Z
dc.identifier.eissn
1573-9333
dc.journal.volume
187
dc.journal.number
1
dc.journal.pagination
497-510
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Beneventano, Carlota Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
dc.description.fil
Fil: Fialkovsky, I. V.. St. Petersburg State University; Rusia. Universidad Federal Do Abc; Brasil
dc.description.fil
Fil: Santangelo, Eve Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
dc.journal.title
Theoretical And Mathematical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1134/S004057791604005X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1134/S004057791604005X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.0615
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