Time-dependent Schrödinger equation: statistics of the distribution of Gaussian packets on a metric graph

DOI10.1134/S008154381003020XzbMath1214.81074MaRDI QIDQ630219

Vsevolod L. Chernyshev

Publication date: 17 March 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs ⋮ Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree ⋮ On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs ⋮ The semiclassical limit on a star-graph with Kirchhoff conditions ⋮ On the distribution of energy of localized solutions of the Schrödinger equation that propagate along symmetric quantum graphs ⋮ The second term in the asymptotics for the number of points moving along a metric graph ⋮ Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory

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