Artículo
Abstract:
New aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocovariances. They can be viewed as a discretized two point correlation function. Their behavior results from two different contributions. One corresponds to (universal) random matrix eigenvalue fluctuations, the other to diffusive or chaotic characteristics of the corresponding classical motion. A closed formula expressing spacing autocovariances in terms of classical dynamical zeta functions, including the Perron-Frobenius operator, is derived. It leads to a simple interpretation in terms of classical resonances. The theory is applied to zeros of the Riemann zeta function. A striking correspondence between the associated classical dynamical zeta functions and the Riemann zeta itself is found. This induces a resurgence phenomenon where the lowest Riemann zeros appear replicated an infinite number of times as resonances and sub-resonances in the spacing autocovariances. The theoretical results are confirmed by existing "data." The present work further extends the already well known semiclassical interpretation of properties of Riemann zeros.
Registro:
| Documento: | Artículo |
| Título: | Spectral spacing correlations for chaotic and disordered systems |
| Autor: | Bohigas, O.; Lebœuf, P.; Sánchez, M.J. |
| Filiación: | Lab. Phys. Theor. et Modeles Stat., Bâtiment 100, Université de Paris-Sud, 91405 Orsay Cedex, France Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 2001 |
| Volumen: | 31 |
| Número: | 3 |
| Página de inicio: | 489 |
| Página de fin: | 517 |
| DOI: | http://dx.doi.org/10.1023/A:1017569612944 |
| Título revista: | Foundations of Physics |
| Título revista abreviado: | Found. Phys. |
| ISSN: | 00159018 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v31_n3_p489_Bohigas |
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Citas:
---------- APA ----------
Bohigas, O., Lebœuf, P. & Sánchez, M.J. (2001) . Spectral spacing correlations for chaotic and disordered systems. Foundations of Physics, 31(3), 489-517.http://dx.doi.org/10.1023/A:1017569612944
---------- CHICAGO ----------
Bohigas, O., Lebœuf, P., Sánchez, M.J. "Spectral spacing correlations for chaotic and disordered systems" . Foundations of Physics 31, no. 3 (2001) : 489-517.http://dx.doi.org/10.1023/A:1017569612944
---------- MLA ----------
Bohigas, O., Lebœuf, P., Sánchez, M.J. "Spectral spacing correlations for chaotic and disordered systems" . Foundations of Physics, vol. 31, no. 3, 2001, pp. 489-517.http://dx.doi.org/10.1023/A:1017569612944
---------- VANCOUVER ----------
Bohigas, O., Lebœuf, P., Sánchez, M.J. Spectral spacing correlations for chaotic and disordered systems. Found. Phys. 2001;31(3):489-517.http://dx.doi.org/10.1023/A:1017569612944
