Publication:
Band structure in the polymer quantization of the harmonic oscillator

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorBarbero G., J. Fernando
dc.contributor.authorPrieto, Jorge
dc.contributor.authorSánchez Villaseñor, Eduardo Jesús
dc.date.accessioned2017-05-16T12:24:01Z
dc.date.available2017-05-16T12:24:01Z
dc.date.issued2013-07-22
dc.description.abstractWe discuss the detailed structure of the spectrum of the Hamiltonian for the polymerized harmonic oscillator and compare it with the spectrum in the standard quantization. As we will see the non-separability of the Hilbert space implies that the point spectrum consists of bands similar to the ones appearing in the treatment of periodic potentials. This feature of the spectrum of the polymeric harmonic oscillator may be relevant for the discussion of the polymer quantization of the scalar field and may have interesting consequences for the statistical mechanics of these models.en
dc.description.sponsorshipWe would like to thank W Chojnacki, A Corichi, J Lewandowski, T Pawłowski, P Singh and M Varadarajan for their valuable comments. This work has been supported by the Spanish MICINN research grants FIS2009-11893, FIS2012-34379 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042).en
dc.format.extent15
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationClassical and Quantum Gravity, 2013, 30 (16), 165011.
dc.identifier.doihttps://dx.doi.org/10.1088/0264-9381/30/16/165011
dc.identifier.issn0264-9381
dc.identifier.publicationfirstpage165011-1
dc.identifier.publicationissue16
dc.identifier.publicationlastpage165011-15
dc.identifier.publicationtitleClassical and Quantum Gravityen
dc.identifier.publicationvolume30
dc.identifier.urihttps://hdl.handle.net/10016/24576
dc.identifier.uxxiAR/0000013816
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.projectIDGobierno de España. FIS2009-11893es
dc.relation.projectIDGobierno de España. FIS2012-34379es
dc.relation.projectIDGobierno de España. CSD2007-00042es
dc.rights© 2013 IOP Publishing Ltd
dc.rights.accessRightsopen access
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.subject.otherBackgroung indepent quantizationsen
dc.subject.otherPeriodic schrodinger-operatorsen
dc.subject.otherQuantum-mechanicsen
dc.subject.otherScalar fielden
dc.subject.otherRepresentationsen
dc.subject.otherEquiationen
dc.subject.otherGravityen
dc.subject.otherEntropyen
dc.subject.otherL2(br)en
dc.titleBand structure in the polymer quantization of the harmonic oscillatoren
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
band_CQG_2013_ps.pdf
Size:
664.85 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - MSNMI - Artículos de Revistas