https://doi.org/10.1140/epjp/i2018-11855-9
Regular Article
Rationally extended potentials and Xm-Jacobi–type solutions of the two-dimensional massless Dirac equation
1
Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
2
Gazi University, Faculty of Science, Physics Department, Teknikokullar, 06500, Ankara, Turkey
* e-mail: axgeschu@iun.edu
Received:
10
November
2017
Accepted:
4
January
2018
Published online:
29
January
2018
We present closed-form solutions of the two-dimensional massless Dirac equation for hyperbolic potentials that are rationally extended in terms of 
-Jacobi polynomials. Our method of construction is based on rational extensions of nonrelativistic Scarf and Pöschl-Teller models that include 
-symmetric and energy-dependent cases.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
