Isospectral Trigonometric P?schl-Teller Potentials with Position Dependent Mass Generated by Supersymmetry

Quantum Fest 2015

Santiago-Cruz, C.^1

Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. Instituto Politecnico Nacional 2580, Col. La Laguna Ticomán, México D. F.

C.P. 07340, Mexico^1

关键词: Darboux transformations;    Factorization methods;    Position-dependent mass;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012028/pdf
DOI  :  10.1088/1742-6596/698/1/012028

来源: IOP

【 摘 要 】

In this work a position dependent mass Hamiltonian with the same spectrum of the trigonometric Pöschl-Teller one was constructed by means of the underlying potential algebra. The corresponding wave functions are determined by using the factorization method. A new family of isospectral potentials are constructed by applying a Darboux transformation. An example is presented in order to illustrate the formalism.