https://doi.org/10.1140/epjp/i2019-12707-x
Regular Article
Ladder operators for the BenDaniel-Duke Hamiltonians and their SUSY partners
Departamento de Física, Cinvestav, A.P. 14-740, 07000, Ciudad de México, Mexico
* e-mail: iestrada@fis.cinvestav.mx
Received:
5
March
2019
Accepted:
29
April
2019
Published online:
18
July
2019
Position-dependent mass systems can be described by a class of operators which include the BenDaniel-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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
