7 papers
bounds for wave operators with critical electromagnetic potentials
Piero D'Ancona, Xitao Gao, Junyong Zhang
We study the Møller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative…
Long Range Asymptotics for the Quadratic Aharonov-Bohm NLS
Piero D'Ancona, Tohru Ozawa
We study the long range behavior of solutions to on , where is the Friedrichs realization of the Aharonov-Bohm Hamiltonian with a singl…
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
A dynamical Amrein-Berthier uncertainty principle
Piero D'Ancona, Diego Fiorletta
Given a selfadjoint magnetic Schrödinger operator \begin{equation*} H = ( i \partial + A(x) )^2 + V(x) \end{equation*} on , with strictly subquadratic a…
Uniform resolvent estimates for magnetic operators
Piero D'Ancona, Zhiqing Yin
We prove Kenig--Ruiz--Sogge type uniform resolvent estimates for selfadjoint magnetic Schrödinger operators on , . Under suitable…
Dispersive and Strichartz estimates for Dirac equation in a cosmic string spacetime
Piero D'Ancona, Zhiqing Yin, Junyong Zhang
In this work we study the Dirac equation on the cosmic string background, which models a one--dimensional topological defect in the spacetime. We first define the Dirac operator in…
Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massless case
Federico Cacciafesta, Piero D'Ancona, Zhiqing Yin +1
In this paper we study the dispersive properties of a two dimensional massless Dirac equation perturbed by an Aharonov--Bohm magnetic field. Our main results will be a family of po…