Bibliographic Citation
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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 Date | 1995 Jan 01 |
OSTI Identifier | OSTI ID: 165239 |
Other Number(s) | APNYA6; ISSN 0003-4916 |
Resource Type | Journal Article |
Resource Relation | Annals of Physics (New York) ; VOL. 237 ; ISSUE: 1 ; PBD: Jan 1995 |
Subject | 66 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 Publication | United States |
Language | English |
Format | pp. 46-65 ; PL: |
System Entry Date | 2001 May 03 |
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