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

The nonrelativistic molecular Tietz potential

Sayfa
74–82
DOI
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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.

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.

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