Browsing Linear and NonLinear Waves by Author "Fanelli, L."
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Absence of eigenvalues of twodimensional magnetic Schr ̈odinger operators
Fanelli, L.; Krejcirik, D.; Vega, L. (20171017)By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding twodimensional Schr ̈odinger operator possesses no point ... 
Absence of eigenvalues of twodimensional magnetic Schroedinger operators
Fanelli, L.; Krejcirik, D.; Vega, L. (20180101)By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding twodimensional Schroedinger operator possesses no point ... 
Erratum to: Relativistic Hardy Inequalities in Magnetic Fields [J Stat Phys, 154, (2014), 866876, DOI 10.1007/s1095501409150]
Fanelli, L.; Vega, L.; Visciglia, N. (20151231)[No abstract available] 
Gaussian Decay of Harmonic Oscillators and related models
Cassano, B.; Fanelli, L. (20170515)We prove that the decay of the eigenfunctions of harmonic oscillators, uniform electric or magnetic fields is not stable under 0order complex perturbations, even if bounded, of these Hamiltonians, in the sense that we can ... 
On the improvement of the Hardy inequality due to singular magnetic fields
Fanelli, L.; Krejcirik, D.; Laptev, A.; Vega, L. (20180712)We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the AharonovBohm field in all dimensions and establish a sharp Hardytype ... 
On the improvement of the Hardy inequality due to singular magnetic fields
Fanelli, L.; Krejcirik, D.; Laptev, A.; Vega, L. (20180712)We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the AharonovBohm field in all dimensions and establish a sharp Hardytype ... 
Relativistic Hardy Inequalities in Magnetic Fields
Fanelli, L.; Vega, L.; Visciglia, N. (20141231)We deal with Dirac operators with external homogeneous magnetic fields. Hardytype inequalities related to these operators are investigated: for a suitable class of transversal magnetic fields, we prove a Hardy inequality ... 
Spectral stability of Schrödinger operators with subordinated complex potentials
Fanelli, L.; Krejcirik, D.; Vega, L. (20180628)We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and coincides with the nonnegative semiaxis for all potentials satisfying a formsubordinate smallness condition. By developing ...