The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity

Producción Científica

Detalles Bibliográficos
Autores: Albeverio, Sergio, Fassari, Silvestro, Gadella Urquiza, Manuel, Nieto Calzada, Luis Miguel, Rinaldi, Fabio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/40857
Acceso en línea:https://doi.org/10.3389/fphy.2019.00102
http://uvadoc.uva.es/handle/10324/40857
Access Level:acceso abierto
Palabra clave:Gaussian potential
Birman-Schwinger operator
Hilbert-Schmidt operator
contact interaction
quantum well
id ES_d7bde89a2026bf6b825fbcbf560df5eb
oai_identifier_str oai:uvadoc.uva.es:10324/40857
network_acronym_str ES
network_name_str España
repository_id_str
spelling The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian ImpurityAlbeverio, SergioFassari, SilvestroGadella Urquiza, ManuelNieto Calzada, Luis MiguelRinaldi, FabioGaussian potentialBirman-Schwinger operatorHilbert-Schmidt operatorcontact interactionquantum wellProducción CientíficaIn this note we consider a quantum mechanical particle moving inside an infinitesimally thin layer constrained by a parabolic well in the x-direction and, moreover, in the presence of an impurity modeled by an attractive Gaussian potential. We investigate the Birman-Schwinger operator associated to a model assuming the presence of a Gaussian impurity inside the layer and prove that such an integral operator is Hilbert-Schmidt, which allows the use of the modified Fredholm determinant in order to compute the bound states created by the impurity. Furthermore, we consider the case where the Gaussian potential degenerates to a δ-potential in the x-direction and a Gaussian potential in the y-direction. We construct the corresponding self-adjoint Hamiltonian and prove that it is the limit in the norm resolvent sense of a sequence of corresponding Hamiltonians with suitably scaled Gaussian potentials. Satisfactory bounds on the ground state energies of all Hamiltonians involved are exhibited.MIinisterio de Economía y Competitividad (MTM2014-57129-C2-1-P)Junta de Castilla y León/ FEDER (BU229P18, VA057U16, VA137G18)2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.3389/fphy.2019.00102http://uvadoc.uva.es/handle/10324/40857reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00102/fullinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/oai:uvadoc.uva.es:10324/408572026-06-13T12:44:47Z
dc.title.none.fl_str_mv The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
title The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
spellingShingle The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
Albeverio, Sergio
Gaussian potential
Birman-Schwinger operator
Hilbert-Schmidt operator
contact interaction
quantum well
title_short The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
title_full The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
title_fullStr The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
title_full_unstemmed The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
title_sort The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
dc.creator.none.fl_str_mv Albeverio, Sergio
Fassari, Silvestro
Gadella Urquiza, Manuel
Nieto Calzada, Luis Miguel
Rinaldi, Fabio
author Albeverio, Sergio
author_facet Albeverio, Sergio
Fassari, Silvestro
Gadella Urquiza, Manuel
Nieto Calzada, Luis Miguel
Rinaldi, Fabio
author_role author
author2 Fassari, Silvestro
Gadella Urquiza, Manuel
Nieto Calzada, Luis Miguel
Rinaldi, Fabio
author2_role author
author
author
author
dc.subject.none.fl_str_mv Gaussian potential
Birman-Schwinger operator
Hilbert-Schmidt operator
contact interaction
quantum well
topic Gaussian potential
Birman-Schwinger operator
Hilbert-Schmidt operator
contact interaction
quantum well
description Producción Científica
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.3389/fphy.2019.00102
http://uvadoc.uva.es/handle/10324/40857
url https://doi.org/10.3389/fphy.2019.00102
http://uvadoc.uva.es/handle/10324/40857
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00102/full
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869421033932455936
score 15,300724

Similares en LA Referencia