https://doi.org/10.1140/epjp/s13360-020-00882-y
Regular Article
Higher-order Darboux transformations for the Dirac equation with position-dependent mass at nonvanishing energy
Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
Received:
27
May
2020
Accepted:
23
October
2020
Published online:
28
October
2020
We construct Darboux transformations of arbitrary order for the two-dimensional Dirac equation within a position-dependent mass scenario. While we restrict the potential and the mass to a single dimension, the stationary energy remains arbitrary. We use our Darboux transformation to generate several new exactly solvable Dirac systems that admit bound states at nonzero energies.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
