Distribution of eigenvalues for the modular group


Por: Bogomolny E., Leyvraz F., Schmit C.

Publicada: 1 ene 1996
Resumen:
The two-point correlation functions of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the Hardy-Littlewood method. It is shown that in the limit of small separations they show an uncorrelated behaviour and agree with the Poisson distribution but they have prominent number-theoretical oscillations at larger scale. The results agree well with numerical simulations.

Filiaciones:
Bogomolny E.:
 Div. de Physique Théorique, U. Rech. Universites Paris 11 P., Inst. de Physique Nucléaire, F-91406 Orsay Cedex, France

 L.D. Landau Inst. of Theor. Physics, 142432 Cherogolovka, Russian Federation

Leyvraz F.:
 Div. de Physique Théorique, U. Rech. Universites Paris 11 P., Inst. de Physique Nucléaire, F-91406 Orsay Cedex, France

 Instituto de Física, University of Mexico, Apdo. postal 20-364, 01000 Mexico City, Mexico

Schmit C.:
 Div. de Physique Théorique, U. Rech. Universites Paris 11 P., Inst. de Physique Nucléaire, F-91406 Orsay Cedex, France
ISSN: 00103616
Editorial
SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA, Estados Unidos America
Tipo de documento: Article
Volumen: 176 Número: 3
Páginas: 577-617
WOS Id: A1996TY83700004
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