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Journals / Turkish Journal of Physics / 2019 / Cilt: 43 - Sayı: 4

Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials

HASİBE HALE KARAYER
Pages
410–416
DOI
—
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AI Summary & Key Takeaways

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

Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically.
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Key Findings & Data:Energy eigenvalue and eigenfunction solutions are achieved systematically.
💡
Conclusion & Impact:Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov–Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is alsopresented that the D-dimensional radial SE is transformed to biconfluent Heun equation (BHE). Therefore the eigenfunctionsolutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existenceof polynomial solution of BHE is provided simultaneously.

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Cite This Article

KARAYER, H. H. (2019). Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov–Uvarov method and biconfluent Heun polynomials. Turkish Journal of Physics, Cilt: 43 - Sayı: 4, 410–416. https://ajindex.com/articles/377784

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