The non-relativistic Coulomb problem on a cone

Gary W. Gibbons, Fernando Ruiz Ruiz, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)295-312
Number of pages18
JournalCommunications in Mathematical Physics
Issue number2
StatePublished - Feb 1990
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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