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Journals / Gazi University Journal of Science / 2016 / Volume: 29 Issue: 4

THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL

Akpan Ndem Ikot
Eser Olgar
H. Hassanabadi
Pages
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Publication Date
2016-12-19
DOI
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AI Summary & Key Takeaways

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

We use the well-known Hellmann-Feynmann theorem to calculate the expectation values for ,, and .We also discussed the special case of the potential which is consistent with the results found in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the Schrödinger equation with the generalized Hulthen potential plus a new ring shaped potential.
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Key Findings & Data:We obtained approximately the bound state energy spectra and the corresponding wave function using the functional analysis method.
💡
Conclusion & Impact:We use the well-known Hellmann-Feynmann theorem to calculate the expectation values for ,, and .We also discussed the special case of the potential which is consistent with the results found in the literature.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:: Schrödinger equation · generalized Hulthen potential · new ring shaped potential

Abstract

In this paper, we study the Schrödinger equation with the generalized Hulthen potential plus a new ring shaped potential. We obtained approximately the bound state energy spectra and the corresponding wave function using the functional analysis method. We use the well-known Hellmann-Feynmann theorem to calculate the expectation values for ,, and .We also discussed the special case of the potential which is consistent with the results found in the literature.

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Cite This Article

Ikot, A. N., Olgar, E., Hassanabadi, H. (2016). THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL. Gazi University Journal of Science, Volume: 29 Issue: 4. https://ajindex.com/articles/1269462

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