Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field

DOI10.1016/j.jde.2014.03.004zbMath1294.35154arXiv1210.7648OpenAlexW2964119180MaRDI QIDQ2444200

Hynek Kovařík, Gabriele Grillo

Publication date: 9 April 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7648

zbMATH Keywords

Schrödinger operatorselectric potentialnon-stationary systemsAharonov-Bohm magnetic field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Schrödinger operator, Schrödinger equation (35J10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Electromagnetic theory (general) (78A25) Operator algebra methods applied to problems in quantum theory (81R15) Schrödinger and Feynman-Kac semigroups (47D08) Foundations in optics and electromagnetic theory (78A02)

Related Items

The Hamilton-Jacobi analysis of powers of singular Lagrangians: a connection between the modified Schrödinger and the Navier-Stokes equations, Dispersive estimates for 2D-wave equations with critical potentials, Time decay of scaling critical electromagnetic Schrödinger flows, Improved time-decay for a class of many-magnetic Schrödinger flows, Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows, Hankel transforms and weak dispersion, The Hardy inequality and the heat equation with magnetic field in any dimension, Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators, Time decay of scaling invariant electromagnetic Schrödinger equations on the plane

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