Eigenvalues and eigenfunctions of Woods-Saxon potential in PT-symmetric quantum mechanics

Creative Commons License

Berkdemir A., Berkdemir C., Sever R.

MODERN PHYSICS LETTERS A, vol.21, no.27, pp.2087-2097, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 27
  • Publication Date: 2006
  • Doi Number: 10.1142/s0217732306019906
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2087-2097
  • Keywords: Nikiforov-Uvarov method, PT and non-PT symmetry, Woods-Saxon potential, NON-HERMITIAN HAMILTONIANS, NIKIFOROV-UVAROV METHOD, PSEUDO-HERMITICITY, REAL SPECTRA, COMPLEX, EQUATION, CLUSTERS, MODEL
  • Middle East Technical University Affiliated: No

Abstract

Using the Nikiforov-Uvarov method which is based on solving the second-order differential equations, we firstly analyzed the energy spectra and eigenfunctions of the Woods-Saxon potential. In the framework of the PT-symmetric quantum mechanics, we secondly solved the time-independent Schrodinger equation for the PT and non-PT-symmetric version of the potential. It is shown that the discrete energy eigenvalues of the non-PT-symmetric potential consist of the real and imaginary parts, but the PT-symmetric one has a real spectrum. Results are obtained for s-states only.