### 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) |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Communications in Mathematical Physics*,

*127*(2), 295-312. https://doi.org/10.1007/BF02096759

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

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 127, no. 2, pp. 295-312. https://doi.org/10.1007/BF02096759

}

TY - JOUR

T1 - The non-relativistic Coulomb problem on a cone

AU - Gibbons, Gary W.

AU - Ruiz, Fernando Ruiz

AU - Vachaspati, Tanmay

PY - 1990/2

Y1 - 1990/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000842454&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000842454&partnerID=8YFLogxK

U2 - 10.1007/BF02096759

DO - 10.1007/BF02096759

M3 - Article

VL - 127

SP - 295

EP - 312

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -