1996/02/25 by Oded Agam, O. Agam, Andrey Andreev +5
Chemistry · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9602131
4 pages, latex, no figures
arxiv created 1996/02/25 · openalex publication_date 1996/02/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We demonstrate that beyond the universal regime correlators of quantum spectral determinants Δ(ε)=det (ε-H) of chaotic systems, defined through an averaging over a wide energy interval, are determined by the underlying classical dynamics through the spectral determinant 1/Z(z)=det (z- \cal L), where e^-\cal Lt is the Perron-Frobenius operator. Application of these results to the Riemann zeta function, allows us to conjecture new relations satisfied by this function.