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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2511.05200 |
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| _version_ | 1866917412522164224 |
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| author | Zumer, Benoît Daem, Florent Matzkin, Alexandre |
| author_facet | Zumer, Benoît Daem, Florent Matzkin, Alexandre |
| contents | We investigate wavepacket dynamics for a relativistic particle in a box evolving according to the relativistic Schrödinger (also known as the Salpeter) equation. We derive the solutions for an infinite well -- which contrary to the standard relativistic wave equations (such as the Klein-Gordon or Dirac equations) -- are well defined, and use these solutions to construct wavepackets. We obtain expressions for the wavepacket revival times and explore the corresponding quantum carpets (the space-time probability density plots) for different dynamical regimes. We further analyze level spacing statistics as the dynamics goes from the non-relativistic regime to the ultra-relativistic limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revivals and quantum carpets for the relativistic Schrödinger equation Zumer, Benoît Daem, Florent Matzkin, Alexandre Quantum Physics We investigate wavepacket dynamics for a relativistic particle in a box evolving according to the relativistic Schrödinger (also known as the Salpeter) equation. We derive the solutions for an infinite well -- which contrary to the standard relativistic wave equations (such as the Klein-Gordon or Dirac equations) -- are well defined, and use these solutions to construct wavepackets. We obtain expressions for the wavepacket revival times and explore the corresponding quantum carpets (the space-time probability density plots) for different dynamical regimes. We further analyze level spacing statistics as the dynamics goes from the non-relativistic regime to the ultra-relativistic limit. |
| title | Revivals and quantum carpets for the relativistic Schrödinger equation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.05200 |