Publication: Band structure in the polymer quantization of the harmonic oscillator
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industrial | es |
dc.contributor.author | Barbero G., J. Fernando | |
dc.contributor.author | Prieto, Jorge | |
dc.contributor.author | Sánchez Villaseñor, Eduardo Jesús | |
dc.date.accessioned | 2017-05-16T12:24:01Z | |
dc.date.available | 2017-05-16T12:24:01Z | |
dc.date.issued | 2013-07-22 | |
dc.description.abstract | We 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.sponsorship | We 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.extent | 15 | |
dc.format.mimetype | application/pdf | |
dc.identifier.bibliographicCitation | Classical and Quantum Gravity, 2013, 30 (16), 165011. | |
dc.identifier.doi | https://dx.doi.org/10.1088/0264-9381/30/16/165011 | |
dc.identifier.issn | 0264-9381 | |
dc.identifier.publicationfirstpage | 165011-1 | |
dc.identifier.publicationissue | 16 | |
dc.identifier.publicationlastpage | 165011-15 | |
dc.identifier.publicationtitle | Classical and Quantum Gravity | en |
dc.identifier.publicationvolume | 30 | |
dc.identifier.uri | https://hdl.handle.net/10016/24576 | |
dc.identifier.uxxi | AR/0000013816 | |
dc.language.iso | eng | |
dc.publisher | IOP Publishing | |
dc.relation.projectID | Gobierno de España. FIS2009-11893 | es |
dc.relation.projectID | Gobierno de España. FIS2012-34379 | es |
dc.relation.projectID | Gobierno de España. CSD2007-00042 | es |
dc.rights | © 2013 IOP Publishing Ltd | |
dc.rights.accessRights | open access | |
dc.subject.eciencia | Física | es |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Backgroung indepent quantizations | en |
dc.subject.other | Periodic schrodinger-operators | en |
dc.subject.other | Quantum-mechanics | en |
dc.subject.other | Scalar field | en |
dc.subject.other | Representations | en |
dc.subject.other | Equiation | en |
dc.subject.other | Gravity | en |
dc.subject.other | Entropy | en |
dc.subject.other | L2(br) | en |
dc.title | Band structure in the polymer quantization of the harmonic oscillator | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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