Spectral asymmetry for bag boundary conditions

We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in th...

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Autores principales: Beneventano, Carlota Gabriela, Santángelo, Eve Mariel, Wipf, Andreas
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131059
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131059
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
spellingShingle Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
Wipf, Andreas
Spectral asymmetry for bag boundary conditions
topic_facet Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
description We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.
format Articulo
Articulo
author Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
Wipf, Andreas
author_facet Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
Wipf, Andreas
author_sort Beneventano, Carlota Gabriela
title Spectral asymmetry for bag boundary conditions
title_short Spectral asymmetry for bag boundary conditions
title_full Spectral asymmetry for bag boundary conditions
title_fullStr Spectral asymmetry for bag boundary conditions
title_full_unstemmed Spectral asymmetry for bag boundary conditions
title_sort spectral asymmetry for bag boundary conditions
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/131059
work_keys_str_mv AT beneventanocarlotagabriela spectralasymmetryforbagboundaryconditions
AT santangeloevemariel spectralasymmetryforbagboundaryconditions
AT wipfandreas spectralasymmetryforbagboundaryconditions
bdutipo_str Repositorios
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