The massless Dirac-Weyl equation with deformed extended complex potentials

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YEŞİLTAŞ Ö., Cagatay B.

CANADIAN JOURNAL OF PHYSICS, vol.96, no.7, pp.770-773, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96 Issue: 7
  • Publication Date: 2018
  • Doi Number: 10.1139/cjp-2017-0608
  • Journal Name: CANADIAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.770-773
  • Gazi University Affiliated: Yes

Abstract

Basically (2 + 1)-dimensional Dirac equation with real deformed Lorentz scalar potential is investigated in this study. The position-dependent Fermi velocity function transforms Dirac Hamiltonian into a Klein-Gordon-like effective Hamiltonian system. The complex Hamiltonian and its real energy spectrum and eigenvectors are obtained analytically. Moreover, the Lie algebraic analysis is also performed.