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 language | English (US) |
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Pages (from-to) | 2204-2211 |
Number of pages | 8 |
Journal | Journal of Mathematical Physics |
Volume | 20 |
Issue number | 11 |
DOIs | |
State | Published - 1978 |