Complex modes in unstable quadratic bosonic forms

Autores
Rossignoli, Raúl Dante; Kowalski, Andrés Mauricio
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss the necessity of using nonstandard boson operators for diagonalizing quadratic bosonic forms which are not positive definite and its convenience for describing the temporal evolution of the system. Such operators correspond to non-Hermitian coordinates and momenta and are associated with complex frequencies. As application, we examine a bosonic version of a BCS-like pairing Hamiltonian, which, in contrast with the fermionic case, is stable just for limited values of the gap parameter and requires the use of the present extended treatment for a general diagonal representation. The dynamical stability of such forms and the occurrence of nondiagonalizable cases are also discussed.
Facultad de Ciencias Exactas
Materia
Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125991
Acceder
id SEDICI_fca828bd4c9039a43616b3bdf190dff5
oai_identifier_str oai:sedici.unlp.edu.ar:10915/125991
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Complex modes in unstable quadratic bosonic formsRossignoli, Raúl DanteKowalski, Andrés MauricioFísicaBcs theoryPhysicsQuadratic equationDiagonalPairingHamiltonian (quantum mechanics)Mathematical physicsPositive-definite matrixFermionQuantum mechanicsBosonWe discuss the necessity of using nonstandard boson operators for diagonalizing quadratic bosonic forms which are not positive definite and its convenience for describing the temporal evolution of the system. Such operators correspond to non-Hermitian coordinates and momenta and are associated with complex frequencies. As application, we examine a bosonic version of a BCS-like pairing Hamiltonian, which, in contrast with the fermionic case, is stable just for limited values of the gap parameter and requires the use of the present extended treatment for a general diagonal representation. The dynamical stability of such forms and the occurrence of nondiagonalizable cases are also discussed.Facultad de Ciencias Exactas2005-09-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125991enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1404.4603info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.72.032101info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:22:10Zoai:sedici.unlp.edu.ar:10915/125991Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:22:11.189SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Complex modes in unstable quadratic bosonic forms
title Complex modes in unstable quadratic bosonic forms
spellingShingle Complex modes in unstable quadratic bosonic forms
Rossignoli, Raúl Dante
Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
title_short Complex modes in unstable quadratic bosonic forms
title_full Complex modes in unstable quadratic bosonic forms
title_fullStr Complex modes in unstable quadratic bosonic forms
title_full_unstemmed Complex modes in unstable quadratic bosonic forms
title_sort Complex modes in unstable quadratic bosonic forms
dc.creator.none.fl_str_mv Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author Rossignoli, Raúl Dante
author_facet Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author_role author
author2 Kowalski, Andrés Mauricio
author2_role author
dc.subject.none.fl_str_mv Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
topic Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
dc.description.none.fl_txt_mv We discuss the necessity of using nonstandard boson operators for diagonalizing quadratic bosonic forms which are not positive definite and its convenience for describing the temporal evolution of the system. Such operators correspond to non-Hermitian coordinates and momenta and are associated with complex frequencies. As application, we examine a bosonic version of a BCS-like pairing Hamiltonian, which, in contrast with the fermionic case, is stable just for limited values of the gap parameter and requires the use of the present extended treatment for a general diagonal representation. The dynamical stability of such forms and the occurrence of nondiagonalizable cases are also discussed.
Facultad de Ciencias Exactas
description We discuss the necessity of using nonstandard boson operators for diagonalizing quadratic bosonic forms which are not positive definite and its convenience for describing the temporal evolution of the system. Such operators correspond to non-Hermitian coordinates and momenta and are associated with complex frequencies. As application, we examine a bosonic version of a BCS-like pairing Hamiltonian, which, in contrast with the fermionic case, is stable just for limited values of the gap parameter and requires the use of the present extended treatment for a general diagonal representation. The dynamical stability of such forms and the occurrence of nondiagonalizable cases are also discussed.
publishDate 2005
dc.date.none.fl_str_mv 2005-09-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/125991
url http://sedici.unlp.edu.ar/handle/10915/125991
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1404.4603
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.72.032101
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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