Abstract We study the $L^{p}-L^{q}$-type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving Aharonov–Bohm model as a main example. As an application, we prove localization eigenvalue of some non–self-adjoint zero-order perturbations Hamiltonian.

Abstract The structure formation of particles with induced dipoles dispersed in a viscous fluid, under spatially and temporarily uniform external electric or magnetic field, is investigated by means Brownian Dynamics simulations. Dipole–dipole interactions forces, excluded volume forces thermal fluctuations are accounted for. resulting structures characterized terms average orientation their in...