Eur. Phys. J. Plus (2019) 134: 49
https://doi.org/10.1140/epjp/i2019-12460-2
https://doi.org/10.1140/epjp/i2019-12460-2
Regular Article
Darboux transformations for the massless Dirac equation with matrix potential: Construction of zero-energy states
Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
* e-mail: axgeschu@iun.edu
Received:
20
October
2018
Accepted:
10
December
2018
Published online:
31
January
2019
We develop a new method for constructing zero-energy states of the massless Dirac equation with a matrix potential. Our method is based on a Darboux transformation for Schrödinger-type equations featuring quadratically energy-dependent potentials.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
