Solution of Relativistic Feshbach-Villars Spin-1/2 Equations
- URL: http://arxiv.org/abs/2408.15288v1
- Date: Mon, 26 Aug 2024 00:13:20 GMT
- Title: Solution of Relativistic Feshbach-Villars Spin-1/2 Equations
- Authors: D. Wingard, A. Garcia Vallejo, Z. Papp,
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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