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Semiclassical Form Factor for Chaotic Systems with Sin 1/2
Bolte, Jens; Keppeler, Stefan
HPLBRIMS199906
Keyword(s): quantum chaos with spin; spectral form factors; semiclassical methods
Abstract: We study the properties of the twopoint spectral form factor for classically chaotic systems with spin 1/2 in the semiclassical limit, with a suitable semiclassical trace formula as our principal tool. To this end we introduce a regularized form factor and discuss the limit in which the socalled diagonal approximation can be recovered. The incorporation of the spin contribution to the trace formula requires an appropriate variant of the equidistribution principle of long periodic orbits as well as the notion of a skew product of the classical translational and spin dynamics. Provided this skew product is mixing, we show that generically the diagonal approximation of the form factor coincides with the respective predictions from random matrix theory. Notes: Stefan Keppeler Abteilung Theoretische Physik, Universit*at Ulm, AlbertEinsteinAllee 11, D89069 Ulm, Germany
20 Pages
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