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Journals / Hittite Journal of Science and Engineering / 2018 / Cilt: 5 - Sayı: 2

N-Dimensional Solutions of Klein-Gordon Particles for Scaled Molecular Potential via Highly-Accurate Approximation

Hasan Fatih KİSOGLU
Pages
97–103
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

The results obtained are compared with the ones that exist in literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The energy eigenvalues and eigenfunctions of relativistic scalar particles are obtained for an equal vector and scalar symmetrical molecular potential in N-dimensional euclidean space by using Asymptotic Iteration Method.
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Key Findings & Data:Furthermore, an highly-accurate approximation scheme is used to deal with the centrifugal term in the eigenvalue equation.
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Conclusion & Impact:The results obtained are compared with the ones that exist in literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Klein-Gordon equation · Asymptotic Iteration Method · Symmetrical molecular potential

Abstract

The energy eigenvalues and eigenfunctions of relativistic scalar particles are obtained for an equal vector and scalar symmetrical molecular potential in N-dimensional euclidean space by using Asymptotic Iteration Method. For such a calculation, the potential in the eigenvalue equation is scaled regarding to fact that the potential is the same in non-relativistic limit. Furthermore, an highly-accurate approximation scheme is used to deal with the centrifugal term in the eigenvalue equation. The results obtained are compared with the ones that exist in literature.

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Cite This Article

KİSOGLU, H. F. (2022). N-Dimensional Solutions of Klein-Gordon Particles for Scaled Molecular Potential via Highly-Accurate Approximation. Hittite Journal of Science and Engineering, Cilt: 5 - Sayı: 2, 97–103. https://ajindex.com/articles/538063

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