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arXiv · 1107.4577

A vanishing theorem for operators in Fock space

David Hasler·Ira Herbst
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Abstract

We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a certain class of operators in Fock space we show that rotation invariance implies the absence of terms which either create or annihilate only a single particle. We outline an application of this result in an operator theoretic renormalization analysis of Hamilton operators, which occur in non-relativistic qed.

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David Hasler, Ira Herbst. 2011-07-22. A vanishing theorem for operators in Fock space. https://doi.org/10.1007/s11005-012-0567-4

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