Rationally extended potentials and Xm-Jacobi–type solutions of the two-dimensional massless Dirac equation
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
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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.
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