engleski

Semiclassical distributions - an extension of semiclassical measures

Semiclassical measures (also known under the name of Wigner measures) are mathematical objects used in the study of high-frequency limits in continuum and quantum mechanics. In contrast to the H- measures, they are tailored to deal with problems which have a characteristic length (e.g. thickness of a plate). How- ever, in same cases the information about oscillations is lost, which prompted Luc Tartar to introduce a different approach. Starting from H-measures he constructed a measure corresponding to the semiclassical one, which has better behaviour in the situations where semiclassical measures did not give good information. Our goal is to extend this construction and introduce an extension of semiclassical measures, the semiclassical distributions, starting from H- distributions introduced in the paper Antonic, Mitrovic: H-distributions - an extensions of H-measures.

Semiclassical ; distributions ; measures

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