Semiclassical limit and quantum chaosReportar como inadecuado




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Abstract : In this paper we present the field on which R. Rammal was working in the last moments of his life : quantum chaos. The behavior of various distributions is investigated numerically for different planar billiards in presence of a magnetic field or not. We find exponential laws for the distributions of the trajectory lengths, of the algebraic areas, and of the number of boundary reflections. These results support the conjecture that the signature of the classical chaotic scattering in the quantum description is the appearance of fluctuations of the S-matrix or conductance for ballistic conductors in the semiclassical limit.





Autor: P. Lecheminant

Fuente: https://hal.archives-ouvertes.fr/



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