We determine explicitly a boundary triple for the Dirac operator H := -i alpha center dot del + m beta + V(x) in R-3, for m is an element of R-3, and V(x) = vertical bar x vertical bar(-1) (nu I-4 + mu beta - i lambda alpha center dot x/vertical bar x vertical bar beta), with nu, mu, lambda is an element of R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When sup(x)vertical bar x parallel to V(x)vertical bar <= 1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form. Published under license by AIP Publishing.

Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

Cassano B.;Pizzichillo F.
2019

Abstract

We determine explicitly a boundary triple for the Dirac operator H := -i alpha center dot del + m beta + V(x) in R-3, for m is an element of R-3, and V(x) = vertical bar x vertical bar(-1) (nu I-4 + mu beta - i lambda alpha center dot x/vertical bar x vertical bar beta), with nu, mu, lambda is an element of R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When sup(x)vertical bar x parallel to V(x)vertical bar <= 1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form. Published under license by AIP Publishing.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/249994
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