Journals / Turkish Journal of Physics / 2013 / Cilt: 37 - Sayı: 1

The nonrelativistic molecular Tietz potential

Pages
74–82
DOI
—

Abstract

We solve the 3-dimensional Schrödinger equation under the Tietz potential by an approximate analytical scheme. A Pekeris-type approximation and the Nikiforov--Uvarov technique are used in the calculations to report the arbitrary-state eigenfunctions and eigenvalues and we calculate some useful expectation values of the Tietz potential using the Hellmann-Feynman theorem and obtain the oscillator strength.

Özet

We solve the 3-dimensional Schrödinger equation under the Tietz potential by an approximate analytical scheme. A Pekeris-type approximation and the Nikiforov--Uvarov technique are used in the calculations to report the arbitrary-state eigenfunctions and eigenvalues and we calculate some useful expectation values of the Tietz potential using the Hellmann-Feynman theorem and obtain the oscillator strength.

Keywords: Schrödinger equation (SE), Tietz potential, Nikiforov-Uvarov (NU) method, oscillator strength