Relations Between Quantum and Classical Spectral Determinants (Zeta-Functions)

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dc.creatorAgam, O.
dc.creatorAndreev, A. V.
dc.creatorAltshuler, B. L.
dc.date1996-02-25
dc.date.accessioned2026-07-07T03:08:23Z
dc.date.available2026-07-07T03:08:23Z
dc.descriptionWe demonstrate that beyond the universal regime correlators of quantum spectral determinants $Δ(ε)=\det (ε-\hat{H})$ 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 $e^{-{\cal L}t}$ is the Perron-Frobenius operator. Application of these results to the Riemann zeta function, allows us to conjecture new relations satisfied by this function.
dc.description4 pages, latex, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9602131
dc.identifierhttp://arxiv.org/abs/cond-mat/9602131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27474
dc.subjectCondensed Matter
dc.titleRelations Between Quantum and Classical Spectral Determinants (Zeta-Functions)
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