Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph

DOI10.1007/s11503-008-1003-zzbMath1175.81115OpenAlexW4205582489MaRDI QIDQ1033757

Vsevolod L. Chernyshev, Andrej I. Shafarevich

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11503-008-1003-z

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) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (9)

Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs ⋮ The semi-classical limit with a delta potential ⋮ Statistics of Gaussian packets on metric and decorated graphs ⋮ Time-dependent Schrödinger equation: statistics of the distribution of Gaussian packets on a metric graph ⋮ 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 Cauchy problem for the wave equation on homogeneous trees ⋮ 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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