Fabio Pizzichillo

activity

20162026

most citedKlein's Paradox and the Relativistic

δ

-shell Interaction in

R^{3}

33 citations · 75 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 21 cited

Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials

Biagio Cassano, Fabio Pizzichillo

We describe the self-adjoint realizations of the operator $H := - i α \cdot \nabla + m β + V (x)$ , for $m \in R$ , and $\mathbb V(x)= |x|^{-1} ( ν\mathbb{I}_4 +μβ-i λα\cdot{x…

math.SP2017★ 3 cited

Spectral asymptotics for $δ$ -interactions on sharp cones

Thomas Ourmières-Bonafos, Konstantin Pankrashkin, Fabio Pizzichillo

We investigate the spectrum of three-dimensional Schrödinger operators with $δ$ -interactions of constant strength supported on circular cones. As shown in earlier works, such opera…

math.AP2017★ 11 cited

The relativistic spherical $δ$ -shell interaction in $R^{3}$ : spectrum and approximation

Albert Mas, Fabio Pizzichillo

This note revolves on the free Dirac operator in $R^{3}$ and its $δ$ -shell interaction with electrostatic potentials supported on a sphere. On one hand, we characterize the…

Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials

Spectral asymptotics for δ-interactions on sharp cones

The relativistic spherical δ-shell interaction in R3: spectrum and approximation

Spectral asymptotics for $δ$ -interactions on sharp cones

The relativistic spherical $δ$ -shell interaction in $R^{3}$ : spectrum and approximation