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Communications in Mathematical Physics

, Volume 127, Issue 2, pp 295–312 | Cite as

The non-relativistic Coulomb problem on a cone

  • Gary W. Gibbons
  • Fernando Ruiz Ruiz
  • Tanmay Vachaspati
Article

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.

Keywords

Neural Network Statistical Physic Wave Function Energy Level Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Gary W. Gibbons
    • 1
  • Fernando Ruiz Ruiz
    • 1
  • Tanmay Vachaspati
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK

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