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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15288 |
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| _version_ | 1866914926801453056 |
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| author | Wingard, D. Vallejo, A. Garcia Papp, Z. |
| author_facet | Wingard, D. Vallejo, A. Garcia Papp, Z. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15288 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solution of Relativistic Feshbach-Villars Spin-1/2 Equations Wingard, D. Vallejo, A. Garcia Papp, Z. Quantum Physics 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. |
| title | Solution of Relativistic Feshbach-Villars Spin-1/2 Equations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.15288 |