English

Composition of Two Potentials

Mathematical Physics 2014-02-28 v1 math.MP

Abstract

Given two potentials V0 and V1 together with a certain nodeless solution {\phi}0 of V0, we form a composition of these two potentials. If V1 is exactly solvable, the composition is exactly solvable, too. By combining various solvable potentials in one-dimensional quantum mechanics, a huge variety of solvable compositions can be made.

Keywords

Cite

@article{arxiv.1402.6954,
  title  = {Composition of Two Potentials},
  author = {Khosrow Chadan and Reido Kobayashi and Ryu Sasaki},
  journal= {arXiv preprint arXiv:1402.6954},
  year   = {2014}
}

Comments

10 pages

R2 v1 2026-06-22T03:17:12.811Z