We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios r_{n}=δ_{n}/δ_{n+1} of (consecutive) spacings δ_{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 nontrivial zeros of Riemann ζ function.
Bianchi, M., Firrotta, M., Sonnenschein, J., Weissman, D. (2022). Measure for chaotic scattering amplitudes. PHYSICAL REVIEW LETTERS, 129(26) [10.1103/PhysRevLett.129.261601].
Measure for chaotic scattering amplitudes
Massimo Bianchi
;
2022-01-01
Abstract
We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios r_{n}=δ_{n}/δ_{n+1} of (consecutive) spacings δ_{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 nontrivial zeros of Riemann ζ function.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
