Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
نویسندگان
چکیده
منابع مشابه
Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly hyperbolic systems [1, 2]. Our results coincide with corresponding random matrix predictions. Furthermore, we study the transition from the Gaussian orthogonal to ...
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We consider the semiclassical approximation to the spectral form factor K(τ) for twodimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for small τ . The result agrees with the τ -term of the form factor for the GOE random matrix ensemble. PACS numbers: 03.65.Sq Semiclassical theories and applications. 05.45.Mt Semiclassical chaos (“quantum chaos”). 1 E-mail: ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/36/30/101