PT-/non-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with any l-values

Arda A., Sever R.

PHYSICA SCRIPTA, vol.89, no.10, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 10
  • Publication Date: 2014
  • Doi Number: 10.1088/0031-8949/89/10/105204
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Keywords: Hellmann potential, Schrodinger equation, PT-symmetry, QUANTUM-MECHANICS, EIGENVALUES, IONIZATION, MOLECULES, BINDING


We investigated the approximate bound-state solutions of the Schrodinger equation for the PT-/non-PT-symmetric and non-Hermitian Hellmann potential. Exact energy eigenvalues and corresponding normalized wave functions were obtained. Numerical energy eigenvalues for the bound states were compared with ones obtained before. Scattering state solutions were also studied. Phase shifts of the potential are written in terms of the angular momentum quantum number l.