Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

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IKHDAİR S., Sever R.

JOURNAL OF MATHEMATICAL PHYSICS, vol.52, no.12, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 12
  • Publication Date: 2011
  • Doi Number: 10.1063/1.3671640
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: Yes

Abstract

A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the nonrelativistic bound state energy spectrum E(n) and the wave functions psi(n)(chi) in terms of the associated Laguerre polynomials in the framework of the Nikiforov-Uvarov method. Under the spin and pseudospin symmetric limits, the analytic eigenvalues and the corresponding two-component upper-and lower-spinors of the Dirac particle are obtained in closed form. (C) 2011 American Institute of Physics. [doi:10.1063/1.3671640]