Hear $π$ from Quantum Galperin Billiards
- URL: http://arxiv.org/abs/2208.00426v2
- Date: Wed, 3 Apr 2024 15:27:54 GMT
- Title: Hear $π$ from Quantum Galperin Billiards
- Authors: Yin Cai, Fu-Lin Zhang,
- Abstract summary: Galperin introduced an interesting method to learn the digits of $pi $ by counting the collisions of two billiard balls and a hard wall.
This paper studies two quantum versions of the Galperin billiards.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Galperin introduced an interesting method to learn the digits of $\pi $ 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 $\pi $ can be observed in the phase shifts of the quantum models.
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