English

Bound states in a hyperbolic asymmetric double-well

Mathematical Physics 2014-01-20 v2 math.MP Quantum Physics

Abstract

We report a new class of hyperbolic asymmetric double-well whose bound state wavefunctions can be expressed in terms of confluent Heun functions. An analytic procedure is used to obtain the energy eigenvalues and the criterion for the potential to support bound states is discussed.

Keywords

Cite

@article{arxiv.1306.2836,
  title  = {Bound states in a hyperbolic asymmetric double-well},
  author = {R. R. Hartmann},
  journal= {arXiv preprint arXiv:1306.2836},
  year   = {2014}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-22T00:32:44.049Z