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

Schulze-Halberg A., YEŞİLTAŞ Ö.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.133, sa.1, 2018 (SCI-Expanded) identifier identifier

  • 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.