A conditionally exactly solvable generalization of the potential step
Mathematical Physics
2015-12-15 v1 math.MP
Quantum Physics
Abstract
Motivated by the interest in non-relativistic quantum mechanics for determining exact solutions to the Schrodinger equation we give two potentials that are conditionally exactly solvable. The two potentials are partner potentials and we obtain that each linearly independent solution of the Schrodinger equation includes two hypergeometric functions. Furthermore we calculate their reflection and transmission amplitudes. Finally we discuss some additional properties of these potentials.
Keywords
Cite
@article{arxiv.1512.04196,
title = {A conditionally exactly solvable generalization of the potential step},
author = {A. Lopez-Ortega},
journal= {arXiv preprint arXiv:1512.04196},
year = {2015}
}
Comments
17 pages, 5 figures