Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
Mathematical Physics
2020-02-13 v1 math.MP
Abstract
Position dependent mass systems can be described by a class of operators which include the Ben Daniel-Duke Hamiltonians. The usual methods to solve this kind of problems are, in general, either numerical or those looking for a connection with constant mass problems. In this paper we impose the existence of first-order ladder operators to fix our initial system. Then, we perform the first and second order supersymmetric transformations to generate families of Hamiltonians whose eigenfunctions are known analytically for a given mass profile.
Keywords
Cite
@article{arxiv.1902.09095,
title = {Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners},
author = {Mario Ivan Estrada Delgado and David José Fernández Cabrera},
journal= {arXiv preprint arXiv:1902.09095},
year = {2020}
}