Publication:
The non-relativistic coulomb problem on a cone

No Thumbnail Available
Full text at PDC
Publication Date
1990
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Verlag
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
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.
Description
© Springer, Part of Springer Science+Business Media
Unesco subjects
Keywords
Citation
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)
Collections