The non-relativistic coulomb problem on a cone
| dc.contributor.author | Ruiz Ruiz, Fernando | |
| dc.contributor.author | Gibbons, Gary W. | |
| dc.contributor.author | Vachaspati, Tanmay | |
| dc.date.accessioned | 2023-06-20T18:59:21Z | |
| dc.date.available | 2023-06-20T18:59:21Z | |
| dc.date.issued | 1990 | |
| dc.description | © Springer, Part of Springer Science+Business Media | |
| dc.description.abstract | We study the non-relativistic Coulomb problem on a cone. The non-trivial topology of the cone breaks the symmetry associated with the conservation of the Lagrange-Laplace Runge-Lenz vector. Classically this translates into a precession of the orbits, and quantum-mechanically into a splitting of the energy levels. For the scattering problem we find that classical multi-scattering is possible and that it gives rise to a wake structure; we also evaluate the full quantum wave function and from it recover the classical results. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/25593 | |
| dc.identifier.doi | 10.1007/BF02096759 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1007/BF02096759 | |
| dc.identifier.relatedurl | http://link.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59056 | |
| dc.issue.number | 2 | |
| dc.journal.title | Communications in Mathematical Physics | |
| dc.page.final | 312 | |
| dc.page.initial | 295 | |
| dc.publisher | Springer Verlag | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 53 | |
| dc.subject.keyword | Physics | |
| dc.subject.keyword | Mathematical | |
| dc.subject.ucm | Física (Física) | |
| dc.subject.unesco | 22 Física | |
| dc.title | The non-relativistic coulomb problem on a cone | |
| dc.type | journal article | |
| dc.volume.number | 127 | |
| dcterms.references | 1.'t Hooft, G.: Commun. Math. Phys.117, 685 (1988) » CrossRef 2.Deser, S., Jackiw, R.: Commun. Math. Phys.118, 495 (1988) » CrossRef 3.Dowker, J.S.: J. Math. Phys.30, 770 (1989); Phys. Rev.D36, 3095 (1987) » CrossRef 4.Linet, B.: Phys. Rev.D33, 1833 (1986) » CrossRef 5.Brandenberger, R., Davis, A.C., Matheson, A.M.: Nucl. Phys.B307, 909 (1988) » CrossRef 6.Smith, A.G.: Gravitational effects of an infinite straight cosmic string on classical and quantum fields: self forces and vacuum fluctuations. TUFTS preprint TUTP-86-11 (1986) 7.Ruback, P.J.: Nucl. Phys.B296, 669 (1988) » CrossRef 8.Ruback, P.J., Shellard, E.P.: Phys. Lett.209B, 262 (1988) 9.Carlip, S.: Nucl. Phys.B324, 106 (1989) » CrossRef 10.Lagrange, J.L.: Nouveau memoire de l'Academie Royale des Sciences et Belles Lettres de Berlin (1781), in Oeuvres de Lagrange, vol. 5, p. 132 11.Deser, S., Jackiw, R., 't Hooft, G.: Ann. Phys.152, 220 (1984) » CrossRef 12.Henneaux, M.: Phys. Rev.D29, 2766 (1984) » CrossRef 13.Hankins, T.L.: Sir William Rowan Hamilton. Baltimore, MD: Johns Hopkins University Press 1983 14.Kay, B.S., Studer, U.M.: Quantum mechanics and field theory on cones and cosmic strings. University of Zurich and ETH preprint (1989) 15.Silk, J., Vilenkin, A.: Phys. Rev. Lett.53, 1700 (1984) » CrossRef 16.de Sousa Gerbert, Ph. Jackiw, R.: Commun. Math. Phys.124, 229–260 (1989) » CrossRef 17.Sommerfeld, A.: Proc. Lond. Math. Soc.28, 417 (1897) | |
| dspace.entity.type | Publication | |
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