Zobrazeno 1 - 10
of 447
pro vyhledávání: '"Smilansky, U."'
Autor:
Gavish, U., Smilansky, U.
Publikováno v:
J. Phys. A: Math. Theor. 40 (2007) 10009-10020
The spectral theory of quantum graphs is related via an exact trace formula with the spectrum of the lengths of periodic orbits (cycles) on the graphs. The latter is a degenerate spectrum, and understanding its structure (i.e.,finding out how many di
Externí odkaz:
http://arxiv.org/abs/0807.2903
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also prov
Externí odkaz:
http://arxiv.org/abs/0708.0839
Publikováno v:
Commun. Math. Phys., 273, 137-159 (2007)
We prove quantum ergodicity for a family of graphs that are obtained from ergodic one-dimensional maps of an interval using a procedure introduced by Pakonski et al (J. Phys. A, v. 34, 9303-9317 (2001)). As observables we take the L^2 functions on th
Externí odkaz:
http://arxiv.org/abs/math-ph/0607008
Autor:
Smilansky, U., Sankaranarayanan, R.
We consider the sequence of nodal counts for eigenfunctions of the Laplace-Beltrami operator in two dimensional domains. It was conjectured recently that this sequence stores some information pertaining to the geometry of the domain, and we show expl
Externí odkaz:
http://arxiv.org/abs/nlin/0503002
Autor:
Kottos, Tsampikos, Smilansky, U.
Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying classical
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9906008
We establish sufficient conditions for the hyperbolicity of the billiard dynamics on surfaces of constant curvature. This extends known results for planar billiards. Using these conditions, we construct large classes of billiard tables with positive
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9905030
Publikováno v:
Chaos, Solitons & Fractals 8 (1997) 1205-1227
We consider a quasi one-dimensional chain of N chaotic scattering elements with periodic boundary conditions. The classical dynamics of this system is dominated by diffusion. The quantum theory, on the other hand, depends crucially on whether the cha
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9702008
Publikováno v:
Phys. Rev. E 57 (1998) 359-365
We investigate the two-point correlations in the band spectra of spatially periodic systems that exhibit chaotic diffusion in the classical limit. By including level pairs pertaining to non-identical quasimomenta, we define form factors with the wind
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9702002
The autocorrelation function of spectral determinants is proposed as a convenient tool for the characterization of spectral statistics in general, and for the study of the intimate link between quantum chaos and random matrix theory, in particular. F
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9611001
Autor:
Smilansky, U.
New insight into the correspondence between Quantum Chaos and Random Matrix Theory is gained by developing a semiclassical theory for the autocorrelation function of spectral determinants. We study in particular the unitary operators which are the qu
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9611002