An application of the maximum principle to the study of essential self-adjointness of Dirac operators. I

J. J. Landgren, P. A. Rejto

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Abstract

We formulate a theorem saying that the Dirac operator corresponding to a one-electron atomic ion is essentially self-adjoint on the usual domain, provided that the nuclear charge Z is less than 118. Furthermore, for such nuclear charges the domains of the closure of the free particle and total Dirac operators are equal. In the present part I of this paper we prove this theorem for the part of the operator over each of the usual reducing subspaces.

Original languageEnglish (US)
Pages (from-to)2204-2211
Number of pages8
JournalJournal of Mathematical Physics
Volume20
Issue number11
DOIs
StatePublished - Jan 1 1978

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