Rationally extended potentials and X-m-Jacobi-type solutions of the two-dimensional massless Dirac equation

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Schulze-Halberg A., YEŞİLTAŞ Ö.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.133, no.1, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 133 Issue: 1
• Publication Date: 2018
• Doi Number: 10.1140/epjp/i2018-11855-9
• Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Gazi University Affiliated: Yes

Abstract

We present closed-form solutions of the two-dimensional massless Dirac equation for hyperbolic potentials that are rationally extended in terms of X-m-Jacobi polynomials. Our method of construction is based on rational extensions of nonrelativistic Scarf and Poschl-Teller models that include PT-symmetric and energy-dependent cases.