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Journals / Karaelmas Fen ve Mühendislik Dergisi / 2021 / Cilt: 11 - Sayı: 1

The Relativistic Two-center Overlap Integrals of Arbitrary Half-Integral Spin Particles

Keyfi Yarım Spinli Parçacıklar için Rölativistik İki-Merkezli Örtme İntegrali

Ali BAĞCI
Pages
[73]–82
DOI
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AI Summary & Key Takeaways

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

It is shown that, the suggested relativistic basis spinors in the present study available to be used for algebraic solution of the generalized Dirac equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The relativistic Ψ^αs-exponential-type spinor orbitals for arbitrary half-integrals spin s, s=1/2,3/2,5/2,… particles is defined.
📊
Key Findings & Data:The two-center overlap integrals of spin s=1/2 spinors are generalized to any half-integral spin.
💡
Conclusion & Impact:It is shown that, the suggested relativistic basis spinors in the present study available to be used for algebraic solution of the generalized Dirac equation.
🔬Design:Review & Systematic Survey
📍Scope:2015 Verileri
⚙️Variables:Half-integral spin particles · Ψ^α-Exponential-Type Orbitals · Overlap Integrals

Özet

The relativistic Ψ^αs-exponential-type spinor orbitals for arbitrary half-integrals spin s, s=1/2,3/2,5/2,… particles is defined. The two-center overlap integrals of spin s=1/2 spinors are generalized to any half-integral spin. They are expressed in terms of non-relativistic Ψ^α-exponential-type orbitals introduced by Guseinov, where α=1,0,-1,-2,-3,…. The relativistic molecular auxiliary functions approximation derived in a previous paper by the author in [Physical Review E 2015; 91(2): 023303] is used for computation of the two-center integrals. The calculations are performed for spin s, s=1/2, s=3/2 and α=1,0,-1,-2,-3,-4,-5 for each value of spin. The coupling feature between lower- and upper-components of Ψ^αs-exponential-type spinor orbitals ensure that the kinetic-balance condition is fulfilled. It is shown that, the suggested relativistic basis spinors in the present study available to be used for algebraic solution of the generalized Dirac equation.

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Cite This Article

BAĞCI, A. (2021). The Relativistic Two-center Overlap Integrals of Arbitrary Half-Integral Spin Particles. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 11 - Sayı: 1, [73]–82. https://ajindex.com/articles/415597

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References (8)

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