Measure for Chaotic Scattering Amplitudes

被引：15

作者：

Bianchi, Massimo ^{[1
,2
]}

Firrotta, Maurizio ^{[1
,2
]}

Sonnenschein, Jacob ^{[3
,4
]}

Weissman, Dorin ^{[5
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Fis, Via Ric Sci 1, I-00133 Rome, Italy

[2] INFN Sez Roma Tor Vergata, Via Ric Sci 1, I-00133 Rome, Italy

[3] Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, Israel

[4] SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA

[5] Okinawa Inst Sci & Technol, 1919 1 Tancha, Onna, Okinawa 9040495, Japan

来源：

PHYSICAL REVIEW LETTERS | 2022年 / 129卷 / 26期

基金：

以色列科学基金会;

关键词：

Normal distribution;

D O I：

10.1103/PhysRevLett.129.261601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios rn = 8n/8n+1 of (consecutive) spacings 8n between two (consecutive) peaks of the scattering amplitude. We show that the same measure applies to the quantum mechanical scattering on a leaky torus as well as to the decay of highly excited string states into two tachyons. Quite remarkably, the rn obey the same distribution that governs the nontrivial zeros of Riemann zeta function.

引用

页数：6

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