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
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