Self-adjoint extensions of Dirac operators with Coulomb type singularity
Copyright policy )Self-adjoint extensions of Dirac operators with Coulomb type singularity
In this work we construct self-adjoint extensions of the Dirac operator associated to Hermitian matrix potentials with Coulomb decay and prove that the domain is maximal. The result is obtained by means of a Hardy-Dirac type inequality. In particular, we can work with some electromagnetic potentials such that both, the electric potential and the magnetic one, have Coulomb type singularity.
Linear symmetric and selfadjoint operators (unbounded), Mathematics - Analysis of PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis, Analysis of PDEs (math.AP)
Linear symmetric and selfadjoint operators (unbounded), Mathematics - Analysis of PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis, Analysis of PDEs (math.AP)
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