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arXiv · 1410.5015

How the permutation of edges of a metric graph affects the number of points moving along the edges

V. L. Chernyshev·A. A. Tolchennikov
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Abstract

We consider a dynamical system on a metric graph, that corresponds to a semiclassical solution of a time-dependent Schrödinger equation. We omit all details concerning mathematical physics and work with a purely discrete problem. We find a weak inequality representation for the number of points coming out of the vertex of an arbitrary tree graph. We apply this construction to an "H-junction" graph. We calculate the difference between numbers of moving points corresponding to the permutation of edges. Then we find a symmetrical difference of the number of points moving along the edges of a metric graph.

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V. L. Chernyshev, A. A. Tolchennikov. 2014-10-18. How the permutation of edges of a metric graph affects the number of points moving along the edges. https://arxiv.org/abs/1410.5015

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