Boundary Hilbert spaces and trace operators

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dc.contributor.author Barbero G., J. Fernando
dc.contributor.author Juárez-Aubry, Benito A.
dc.contributor.author Margalef Bentabol, Juan
dc.contributor.author Sánchez Villaseñor, Eduardo Jesús
dc.date.accessioned 2017-10-19T13:53:47Z
dc.date.available 2018-03-31T22:00:06Z
dc.date.issued 2017-03-31
dc.identifier.bibliographicCitation Classical and quantum gravity. 2017, 34 (9-095005), pp. 1-12
dc.identifier.issn 0264-9381
dc.identifier.uri http://hdl.handle.net/10016/25617
dc.description.abstract We discuss the introduction of boundary Hilbert spaces for a class of physical systems for which it is not possible to factor their state spaces as tensor products of Hilbert spaces naturally associated to their boundaries and bulks, respectively. In order to do this we make use of the so called trace operators that play a relevant role in the analysis of PDEs in bounded regions. By taking advantage of these operators and some functorial aspects of the construction of Fock spaces, we will show how to obtain quantum dynamics at the boundaries defined in appropriate Hilbert spaces associated with them.
dc.description.sponsorship This work has been supported by the Spanish MINECO research grant FIS2014-57387-C3-3-P. Benito A Ju arez-Aubry is supported by CONACYT, project 101712. Juan Margalef-Bentabol is supported by a "la Caixa" fellowship and a Residencia de Estudiantes (MINECO) fellowship.
dc.format.extent 12
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © 2017 IOP Publishing Ltd.
dc.subject.other Quantum field theory
dc.subject.other Boundary Hilbert spaces
dc.subject.other Second quantization functor
dc.subject.other Trace operators
dc.subject.other Fock quantization
dc.title Boundary Hilbert spaces and trace operators
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1088/1361-6382/aa65ff
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2014-57387-C3-3
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 9 (095005)
dc.identifier.publicationlastpage 12
dc.identifier.publicationtitle Classical and quantum gravity
dc.identifier.publicationvolume 34
dc.identifier.uxxi AR/0000019417
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