4 papers
Relativistic Virial Operators
Lucrezia Cossetti, Luca Fanelli, Fabio Pizzichillo
When studying Dirac operators, it is well known that the phenomenon of Zitterbewegung leads to a lack of convexity of the variance, which creates difficulties in the analysis of di…
Quantitative Landis-type result for Dirac operators
Ujjal Das, Luca Fanelli, Luz Roncal
We study quantitative unique continuation at infinity for Dirac equations with bounded matrix-valued potentials. For the massless Dirac operator in ,…
Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian
Luca Fanelli, Haruya Mizutani, Luz Roncal +1
We establish global bounds for solutions to stationary and time-dependent Schrödinger equations associated with the sublaplacian on the Heisenberg group, as well as it…
Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian
Luca Fanelli, Haruya Mizutani, Luz Roncal +1
We prove uniform resolvent estimates in weighted -spaces for radial solutions of the sublaplacian on the Heisenberg group . The proofs are based on…