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.
Original language | English (US) |
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Pages (from-to) | 295-312 |
Number of pages | 18 |
Journal | Communications in Mathematical Physics |
Volume | 127 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1990 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics