Modified l-states of diatomic molecules subject to central potentials plus an angle-dependent potential


Berkdemir C., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.46, no.4, pp.1122-1136, 2009 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.1007/s10910-008-9498-9
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1122-1136
  • Keywords: Bound state solution, Modified l-state, Diatomic molecule, Nikiforov-Uvarov method, Central plus non-central potentials, NONBIJECTIVE CANONICAL TRANSFORMATION, NIKIFOROV-UVAROV METHOD, RING-SHAPED POTENTIALS, KEPLER-COULOMB SYSTEM, SCHRODINGER-EQUATION, INTERBASIS EXPANSIONS, PEKERIS APPROXIMATION, INVARIANCE ALGEBRA, OSCILLATOR SYSTEM, ROTATIONAL BANDS

Abstract

We present modified a""-states of diatomic molecules by solving the radial and angle-dependent parts of the Schrodinger equation for central potentials, such as Morse and Kratzer, plus an exactly solvable angle-dependent potential V (theta) (theta)/r (2) within the framework of the Nikiforov-Uvarov (NU) method. We emphasize that the contribution which comes from the solution of the Schrodinger equation for the angle-dependent potential modifies the usual angular momentum quantum number a"". We calculate explicitly bound state energies of a number of neutral diatomic molecules composed of a first-row transition metal and main-group elements for both Morse and Kratzer potentials plus an angle-dependent potential. We also compare the bound state energies for both potentials, taking into account spectroscopic parameters of diatomic molecules and arbitrary values of potential constants.