The non-relativistic Coulomb problem on a cone

Gary W. Gibbons, Fernando Ruiz Ruiz, Tanmay Vachaspati

Research output: Contribution to journalArticle

18 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)295-312
Number of pages18
JournalCommunications in Mathematical Physics
Volume127
Issue number2
DOIs
StatePublished - Feb 1990
Externally publishedYes

Fingerprint

cones
Cone
Scattering Problems
Wake
Energy Levels
Laplace
scattering
precession
Lagrange
wakes
Wave Function
Conservation
conservation
topology
energy levels
Orbit
Scattering
wave functions
Topology
orbits

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The non-relativistic Coulomb problem on a cone. / Gibbons, Gary W.; Ruiz, Fernando Ruiz; Vachaspati, Tanmay.

In: Communications in Mathematical Physics, Vol. 127, No. 2, 02.1990, p. 295-312.

Research output: Contribution to journalArticle

Gibbons, Gary W. ; Ruiz, Fernando Ruiz ; Vachaspati, Tanmay. / The non-relativistic Coulomb problem on a cone. In: Communications in Mathematical Physics. 1990 ; Vol. 127, No. 2. pp. 295-312.
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