%0 Journal Article %A Ruiz Ruiz, Fernando %A Gibbons, Gary W. %A Vachaspati, Tanmay %T The non-relativistic coulomb problem on a cone %D 1990 %@ 0010-3616 %U https://hdl.handle.net/20.500.14352/59056 %X 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. %~