Rationally extended potentials and X-m-Jacobi-type solutions of the two-dimensional massless Dirac equation
EUROPEAN PHYSICAL JOURNAL PLUS, cilt.133, sa.1, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 133 Sayı: 1
- Basım Tarihi: 2018
- Doi Numarası: 10.1140/epjp/i2018-11855-9
- Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Gazi Üniversitesi Adresli: Evet
Özet
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.