Electromagnetic scattering laws in Weyl systems
نویسندگان
چکیده
منابع مشابه
Fractal Weyl laws for chaotic open systems.
We present a conjecture relating the density of quantum resonances for an open chaotic system to the fractal dimension of the associated classical repeller. Mathematical arguments justifying this conjecture are discussed. Numerical evidence based on computation of resonances of systems of n disks on a plane are presented supporting this conjecture. The result generalizes the Weyl law for the de...
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For a scattering system {AΘ, A0} consisting of selfadjoint extensions AΘ and A0 of a symmetric operator A with finite deficiency indices, the scattering matrix {SΘ(λ)} and a spectral shift function ξΘ are calculated in terms of the Weyl function associated with the boundary triplet for A∗ and a simple proof of the Krein-Birman formula is given. The results are applied to singular Sturm-Liouvill...
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ژورنال
عنوان ژورنال: Nature Communications
سال: 2017
ISSN: 2041-1723
DOI: 10.1038/s41467-017-01533-0