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Complex analysis and mathematical physics
October 17, 2011 16:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)
 


Properties of quantum packets and classical Hamiltonian systems on graphs and decorated graphs

A. I. Shafarevich

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: We consider quasiclassical solutions of the Schrödinger equation on graphs and cell complexes that are obtained from graphs by replacing their vertices by smooth compact Riemannian manifolds. We decribe properties of the corresponding classical Hamiltonian systems, in particular, the statistics of the number of quantum packets and the distribution of their density are discussed.

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