Some essentially self-adjoint Dirac operators with spherically symmetric potentials

K. E. Gustafson, Peter A Rejto

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

It is shown that the one electron Dirac operator in a stationary electric field is essentially self-adjoint, on the domain of infinitely differentiable functions of compact support, for a class of spherically symmetric potentials including the Coulomb potential, for atomic numbers less than or equal to 118. In addition, the domain of the closure of the perturbed operator is the same as the domain of the closure of the unperturbed operator. We also give an abstract theorem on domain-preserving essential self-adjointness for perturbed operators, which is perhaps of independent interest.

Original languageEnglish (US)
Pages (from-to)63-75
Number of pages13
JournalIsrael Journal of Mathematics
Volume14
Issue number1
DOIs
StatePublished - Mar 1 1973

Fingerprint

Dirac Operator
Self-adjoint Operator
Closure
Operator
Essential Self-adjointness
Coulomb Potential
Compact Support
Less than or equal to
Differentiable
Electric Field
Electron
Theorem

Cite this

Some essentially self-adjoint Dirac operators with spherically symmetric potentials. / Gustafson, K. E.; Rejto, Peter A.

In: Israel Journal of Mathematics, Vol. 14, No. 1, 01.03.1973, p. 63-75.

Research output: Contribution to journalArticle

Gustafson, K. E. ; Rejto, Peter A. / Some essentially self-adjoint Dirac operators with spherically symmetric potentials. In: Israel Journal of Mathematics. 1973 ; Vol. 14, No. 1. pp. 63-75.
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