Measure for chaotic scattering amplitudes
| Autor: | Bianchi, Massimo, Firrotta, Maurizio, Sonnenschein, Jacob, Weissman, Dorin |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 129 (2022), 261601 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.129.261601 |
| Popis: | We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios $r_n={\delta_n}/{\delta_{n+1}}$ of (consecutive) spacings $\delta_n$ 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 $r_n$ obey the same distribution that governs the non-trivial zeros of Riemann zeta function. Comment: v2: small corrections, references added; v3: minor improvements to match published version |
| Databáze: | arXiv |
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