Interplay of topology and quantization: topological energy quantization in a cavity
dc.contributor.author | Fernández-Rañada, Antonio | |
dc.date.accessioned | 2023-06-20T10:41:31Z | |
dc.date.available | 2023-06-20T10:41:31Z | |
dc.date.issued | 2003-04-28 | |
dc.description | © 2003 Elsevier Science BV. I am indebted to Dr. J.L. Trueba and Prof. A. Tiemblo for discussions and encouragements and to Profs. J.M. Montesinos and A. Ibort for help on the mathematical aspects of this work. I am also thankful to referee 1 for his/her helpful criticism. | |
dc.description.abstract | The interplay between quantization and topology is investigated in the frame of a topological model of electromagnetism proposed by the author. In that model, the energy of electromagnetic radiation in a cubic cavity is epsilon = (d/4)homega where d is a topological integer index equal to the degree of a map between two orbifolds. | |
dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/24928 | |
dc.identifier.doi | 10.1016/S0375-9601(03)00443-2 | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.officialurl | http://dx.doi.org/10.1016/S0375-9601(03)00443-2 | |
dc.identifier.relatedurl | http://www.sciencedirect.com | |
dc.identifier.relatedurl | http://arxiv.org/abs/quant-ph/0303033 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/51007 | |
dc.issue.number | 05-jun | |
dc.journal.title | Physics Letters A | |
dc.language.iso | eng | |
dc.page.final | 444 | |
dc.page.initial | 434 | |
dc.publisher | Elsevier | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 537 | |
dc.subject.keyword | Electromagnetism. | |
dc.subject.ucm | Electricidad | |
dc.subject.ucm | Electrónica (Física) | |
dc.subject.unesco | 2202.03 Electricidad | |
dc.title | Interplay of topology and quantization: topological energy quantization in a cavity | |
dc.type | journal article | |
dc.volume.number | 310 | |
dcterms.references | [1] M. Jammer, The Conceptual Development of Quantum Mechanics, McGraw–Hill, New York, 1966. [2] M.V. Berry, Proc. R. Soc. London Ser. A, 392 (1802) (1984), 45. [3] M. Atiyah, Quart. J. R. Astron. Soc., 29 (1988), 287; M. Atiyah, The Geometry and Physics of Knots, Cambridge Univ. Press, Cambridge, 1990. [4] A.F. Rañada, Lett. Math. Phys., 18 (1989), 97. [5] A.F. Rañada, J. Phys. A: Math. Gen., 23 (1990), L815. [6] A.F. Rañada, An. Fis. (Madrid), A 87 (1991), 55. [7] A.F. Rañada, J. Phys. A: Math. Gen., 25 (1992), 1621. [8] A.F. Rañada, and: M. Ferrero, A. van der Merwe (Eds.), Fundamental Problems in Quantum Physics, Kluwer Academic, Dordrecht, 1995, pp. 267–277. [9] A.F. Rañada, J.L. Trueba, and: M.W. Evans, I. Prigogine, S.A. Rice (Eds.), Modern Nonlinear Optics, Part 3, 2nd Edition, in: Advances in Chemical Physics, Vol. 119, Wiley, New York, 2001, pp. 197–253. [10] A.F. Rañada, J.L. Trueba, Phys. Lett. A, 202 (1995), 337. [11] A.F. Rañada, J.L. Trueba, Phys. Lett. A, 235 (1997), 25. [12] A.F. Rañada, J.L. Trueba, Phys. Lett. B, 422 (1998), 196. [13] A.F. Rañada, hep-th/9904158; A.F. Rañada, Ann. Fond. Louis de Broglie, 27 (2002), 505. [14] J. Milnor, Topology from the Differentiable Viewpoint, University of Virginia Press, Charlottesville, 1965. [15] V. Guillemin, A. Pollack, Differential Topology, Prentice Hall, Englewood Cliffs, NJ, 1974. | |
dspace.entity.type | Publication |
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