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| Format: | Preprint |
| Veröffentlicht: |
2021
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| Online-Zugang: | https://arxiv.org/abs/2107.05361 |
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| _version_ | 1866916621701873664 |
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| author | Shan, Qiuyu |
| author_facet | Shan, Qiuyu |
| contents | The Fermi acceleration mechanism is a significant source of cosmic rays. When the width of a potential well changes over time, the velocity of particles within the well also changes. For quantum systems, such dynamics should be described by the Schrödinger, Klein-Gordon, and Dirac equations. Previous studies have solved the Schrödinger and Klein-Gordon equations under these conditions, but no research has addressed the Dirac equation for spin-$\frac{1}{2}$ particles like electrons. This paper investigates the solutions of the Dirac equation in a dynamically varying potential well and demonstrates that Dirac particles can exhibit complex-valued momentum states via the Fermi acceleration mechanism, enabling Tachyon-like states preparation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_05361 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Solutions of the Dirac equation in one-dimensional variable width potential well Shan, Qiuyu Quantum Physics The Fermi acceleration mechanism is a significant source of cosmic rays. When the width of a potential well changes over time, the velocity of particles within the well also changes. For quantum systems, such dynamics should be described by the Schrödinger, Klein-Gordon, and Dirac equations. Previous studies have solved the Schrödinger and Klein-Gordon equations under these conditions, but no research has addressed the Dirac equation for spin-$\frac{1}{2}$ particles like electrons. This paper investigates the solutions of the Dirac equation in a dynamically varying potential well and demonstrates that Dirac particles can exhibit complex-valued momentum states via the Fermi acceleration mechanism, enabling Tachyon-like states preparation. |
| title | Solutions of the Dirac equation in one-dimensional variable width potential well |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2107.05361 |