Complex modes in unstable quadratic bosonic forms

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...

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Detalles Bibliográficos
Autores principales: Rossignoli, Raúl Dante, Kowalski, Andrés Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125991
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125991
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
spellingShingle Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
Complex modes in unstable quadratic bosonic forms
topic_facet Física
Bcs theory
Physics
Quadratic equation
Diagonal
Pairing
Hamiltonian (quantum mechanics)
Mathematical physics
Positive-definite matrix
Fermion
Quantum mechanics
Boson
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.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author_facet Rossignoli, Raúl Dante
Kowalski, Andrés Mauricio
author_sort Rossignoli, Raúl Dante
title Complex modes in unstable quadratic bosonic forms
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
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/125991
work_keys_str_mv AT rossignolirauldante complexmodesinunstablequadraticbosonicforms
AT kowalskiandresmauricio complexmodesinunstablequadraticbosonicforms
bdutipo_str Repositorios
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