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We study the Schr\"odinger-Poisson system on the unit sphere $\SS^2$ of $\RR^3$, modeling the quantum transport of charged particles confined on a sphere by an external potential. Our first results c...
Fractal Weyl law behavior in an open, chaotic Hamiltonian system
chaotic Hamiltonian system Fractal Weyl law
2009/11/5
We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relat...