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Title Quantization of Anosov maps
Creator/Author Basilio de Matos, M. ; Ozorio de Almeida, A.M. [IF, Universidade Estadual de Campinas, 13081, Campinas, SP (Brazil)]
Publication Date1995 Jan 01
OSTI IdentifierOSTI ID: 165239
Other Number(s)APNYA6; ISSN 0003-4916
Resource TypeJournal Article
Resource RelationAnnals of Physics (New York) ; VOL. 237 ; ISSUE: 1 ; PBD: Jan 1995
Subject66 PHYSICS ; QUANTIZATION; MAPS; TOPOLOGY; SEMICLASSICAL APPROXIMATION; PROPAGATOR; ORBITS
Description/Abstract Cat maps, linear automorphisms of the torus, are standard examples of classically chaotic systems, but they are periodic when quantized, leading to many untypical consequences. Anosov maps are topologically equivalent to cat maps despite being nonlinear. Generalizing the original quantization of cat maps, we establish that quantum Anosov maps have typical spectral fluctuations for classically chaotic systems. The periodic orbit theory for the spectra of quantum Anosov maps is not exact, as it is for cat maps. Nonetheless our calculations verify that the semiclassical trace of the propagator is accurate well beyond any``log time`` cutoff.{copyright} 1995 Academic Press, Inc.
Country of PublicationUnited States
LanguageEnglish
Formatpp. 46-65 ; PL:
System Entry Date2001 May 03

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