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arXiv · 2408.15288

Solution of Relativistic Feshbach-Villars Spin-1/2 Equations

D. Wingard·A. Garcia Vallejo·Z. Papp
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Abstract

We propose method for studying relativistic spin-$1/2$ particles by solving the corresponding Feshbach-Villars equation. We have found that the Feshbach-Villars spin-$1/2$ equations can be formulated as spin-coupled Feshbach-Villars spin-$0$ equations, that results in a Hamiltonian eigenvalue problem. We adopted an integral equation formalism. The potential operators are represented in a discrete Hilbert space basis and the relevant Green's operator has been calculated by a matrix continued fraction.

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D. Wingard, A. Garcia Vallejo, Z. Papp. 2024-08-26. Solution of Relativistic Feshbach-Villars Spin-1/2 Equations. https://arxiv.org/abs/2408.15288

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