We describe the self-adjoint realizations of the operator H: = - iα· ∇ + mβ+ V(x) , for m∈ R, and V(x)=|x|-1(νI4+μβ-iλα·x/|x|β), for ν, μ, λ∈ 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.;
2018
Abstract
We describe the self-adjoint realizations of the operator H: = - iα· ∇ + mβ+ V(x) , for m∈ R, and V(x)=|x|-1(νI4+μβ-iλα·x/|x|β), for ν, μ, λ∈ 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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