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arXiv · 1902.09095

Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners

Mario Ivan Estrada Delgado·David José Fernández Cabrera
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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.

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Mario Ivan Estrada Delgado, David José Fernández Cabrera. 2019-02-25. Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners. https://doi.org/10.1140/epjp/i2019-12707-x

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