Bound electron states in a charged chain within the Dirac description
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929599769739264 |
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| author | Eremko, Alexander Brizhik, Larissa Loktev, Vadim |
| author_facet | Eremko, Alexander Brizhik, Larissa Loktev, Vadim |
| contents | For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obtained within the Dirac description, using the new spinor invariant found for this problem. It is demonstrated that within such approach the coupling between electron spin and its one-dimensional propagation along the chain naturally arise, without any need to include artificially into the equations the so-called spin-orbit interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bound electron states in a charged chain within the Dirac description Eremko, Alexander Brizhik, Larissa Loktev, Vadim Mesoscale and Nanoscale Physics 81Q05, 81Q37 For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obtained within the Dirac description, using the new spinor invariant found for this problem. It is demonstrated that within such approach the coupling between electron spin and its one-dimensional propagation along the chain naturally arise, without any need to include artificially into the equations the so-called spin-orbit interaction. |
| title | Bound electron states in a charged chain within the Dirac description |
| topic | Mesoscale and Nanoscale Physics 81Q05, 81Q37 |
| url | https://arxiv.org/abs/2411.14212 |