Hear $\pi$ from Quantum Galperin Billiards
Quantum Physics
2024-04-04 v2 Chaotic Dynamics
Abstract
Galperin introduced an interesting method to learn the digits of 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 can be observed in the phase shifts of the quantum models.
Cite
@article{arxiv.2208.00426,
title = {Hear $\pi$ from Quantum Galperin Billiards},
author = {Yin Cai and Fu-Lin Zhang},
journal= {arXiv preprint arXiv:2208.00426},
year = {2024}
}
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published version