English

Laplace-Runge-Lenz vector with spin in any dimension

Mathematical Physics 2015-06-19 v1 math.MP Quantum Physics

Abstract

Superintegrable d - dimensional quantum mechanical systems with spin, which admit a generalized Laplace-Runge-Lenz vector are presented. The systems with spins 0, 1/2 and 1 are considered in detail. All these systems are exactly solvable for arbitrary d, and their solutions are presented explicitly.

Keywords

Cite

@article{arxiv.1403.2867,
  title  = {Laplace-Runge-Lenz vector with spin in any dimension},
  author = {A. G. Nikitin},
  journal= {arXiv preprint arXiv:1403.2867},
  year   = {2015}
}

Comments

16 pages

R2 v1 2026-06-22T03:25:00.182Z