Hear $π$ from Quantum Galperin Billiards
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910396770680832 |
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| author | Cai, Yin Zhang, Fu-Lin |
| author_facet | Cai, Yin Zhang, Fu-Lin |
| contents | Galperin introduced an interesting method to learn the digits of $π$ by counting the collisions of two billiard balls and a hard wall. This paper studies two quantum versions of the Galperin billiards. It is shown that the digits of $π$ can be observed in the phase shifts of the quantum models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00426 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hear $π$ from Quantum Galperin Billiards Cai, Yin Zhang, Fu-Lin Quantum Physics Chaotic Dynamics Galperin introduced an interesting method to learn the digits of $π$ by counting the collisions of two billiard balls and a hard wall. This paper studies two quantum versions of the Galperin billiards. It is shown that the digits of $π$ can be observed in the phase shifts of the quantum models. |
| title | Hear $π$ from Quantum Galperin Billiards |
| topic | Quantum Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2208.00426 |