Feynman checkers: through the looking-glass
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917018988445696 |
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| author | Ozhegov, Fedor Skopenkov, Mikhail Ustinov, Alexey |
| author_facet | Ozhegov, Fedor Skopenkov, Mikhail Ustinov, Alexey |
| contents | Feynman gave a famous elementary introduction to quantum theory by discussing the thin-film reflection of light. We make his discussion mathematically rigorous, keeping it elementary, using his other idea. The resulting model leads to accurate quantitative results and allows us to derive a well-known formula from optics. In the process, we get acquainted with mathematical tools such as Smirnov's fermionic observables, transfer matrices, and spectral radii. Quantum walks and the six-vertex model arise as the next step in this direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Feynman checkers: through the looking-glass Ozhegov, Fedor Skopenkov, Mikhail Ustinov, Alexey Mathematical Physics Combinatorics History and Overview 81-01, 05A19, 78A40 Feynman gave a famous elementary introduction to quantum theory by discussing the thin-film reflection of light. We make his discussion mathematically rigorous, keeping it elementary, using his other idea. The resulting model leads to accurate quantitative results and allows us to derive a well-known formula from optics. In the process, we get acquainted with mathematical tools such as Smirnov's fermionic observables, transfer matrices, and spectral radii. Quantum walks and the six-vertex model arise as the next step in this direction. |
| title | Feynman checkers: through the looking-glass |
| topic | Mathematical Physics Combinatorics History and Overview 81-01, 05A19, 78A40 |
| url | https://arxiv.org/abs/2407.03258 |