From quantum disorder to quantum chaos

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dc.creatorGornyi, I. V.
dc.creatorMirlin, A. D.
dc.date2001-07-26
dc.date.accessioned2026-07-07T06:31:41Z
dc.date.available2026-07-07T06:31:41Z
dc.descriptionWe study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic $σ$-model approach. We analyze conditions of applicability of the $σ$-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the $σ$-model and by the trace formula.
dc.description15 pages, no figures. Contribution to a special issue of J. Low Temp. Phys. dedicated to Peter Woelfle's 60th birthday
dc.identifierhttps://arxiv.org/abs/cond-mat/0107552
dc.identifierhttp://arxiv.org/abs/cond-mat/0107552
dc.identifierJ. Low Temp. Phys., 126, 1339 (2002)
dc.identifierdoi:10.1023/A:1013848220378
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98678
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleFrom quantum disorder to quantum chaos
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