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

The nonrelativistic molecular Tietz potential

Hossein NIKOOFARD
Elham MAGHSOODI
Saber ZARRINKAMAR
Mohsen FARHADI
Hassan HASSANABADI
Pages
74–82
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We solve the 3-dimensional Schrödinger equation under the Tietz potential by an approximate analytical scheme.
📊
Key Findings & Data:We solve the 3-dimensional Schrödinger equation under the Tietz potential by an approximate analytical scheme.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Schrödinger equation (SE) · Tietz potential · Nikiforov-Uvarov (NU) method

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.

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Cite This Article

NIKOOFARD, H., MAGHSOODI, E., ZARRINKAMAR, S., FARHADI, M., HASSANABADI, H. (2013). The nonrelativistic molecular Tietz potential. Turkish Journal of Physics, Cilt: 37 - Sayı: 1, 74–82. https://ajindex.com/articles/378023

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