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The non-relativistic coulomb problem on a cone

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Ruiz Ruiz, Fernando and Gibbons, Gary W. and Vachaspati, Tanmay (1990) The non-relativistic coulomb problem on a cone. Communications in Mathematical Physics, 127 (2). pp. 295-312. ISSN 0010-3616

Official URL: http://dx.doi.org/10.1007/BF02096759


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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.


Item Type:Article
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© Springer, Part of Springer Science+Business Media

Uncontrolled Keywords:Physics, Mathematical
Subjects:Sciences > Physics
ID Code:25593
Deposited On:28 May 2014 15:15
Last Modified:28 May 2014 15:15

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