We describe the self- adjoint realizations of the operator H := - ia center dot. + m ss + V( x), for m. R, and V( x) = | x|- 1(.I4+ mu ss - i.a center dot x/| x| ss), for., mu,.. R. We characterize the self- adjointness in terms of the behavior of the functions of the domain in the origin, exploiting Hardy- type estimates and trace lemmas. Finally, we describe the distinguished extension.
Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials
Cassano B.;Pizzichillo F.
2018-01-01
Abstract
We describe the self- adjoint realizations of the operator H := - ia center dot. + m ss + V( x), for m. R, and V( x) = | x|- 1(.I4+ mu ss - i.a center dot x/| x| ss), for., mu,.. R. We characterize the self- adjointness in terms of the behavior of the functions of the domain in the origin, exploiting Hardy- type estimates and trace lemmas. Finally, we describe the distinguished extension.File in questo prodotto:
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