Anti-Commutator Theorem and Essential Self-Adjointness

Details Anti-Commutator Theorem and Essential Self-Adjointness Anti-Commutator Theorem and Essential Self-Adjointness

2010-07-04

arxiv.org/abs/1007.0544v4

Mathematics

Functional Analysis

Scientific paper

In this article, the self-adjoint extensions of symmetric operators
satisfying anti-commutation relations are considered. Then it is proven that an
anticommutative type of the Glimm-Jaffe-Nelson commutator theorem follows. In
addition we investigate its application to the Dirac operator with external
potentials.

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