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Domains for Dirac–Coulomb min-max levels

Domains for Dirac–Coulomb min-max levels

We consider a Dirac operator in three space dimensions, with an electrostatic (i.e., real-valued) potential V(x) , having a strong Coulomb-type singularity at the origin. This operator is not always essentially self-adjoint but admits a distinguished self-adjoint extension D_V . In a first part we obtain new results on the …