Hear π from Quantum Galperin Billiards

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Canadian Journal of Physics Pub Date : 2022-07-31 DOI:10.1139/cjp-2022-0262

Y. Cai, Fu-Lin Zhang

引用次数: 0

Abstract

Galperin [Regul. Chaotic. Dyn. 8, 375 (2003)] 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.

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从量子Galperin台球中听到π

加尔佩林(Regul。混乱。Dyn. 8, 375(2003)]介绍了一种有趣的方法，通过计算两个台球和硬墙的碰撞来学习π的数字。本文研究了加尔佩林台球的两个量子版本。结果表明，在量子模型的相移中可以观察到π的数字。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Canadian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

1.7 months

期刊介绍： The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.