A Vanishing Theorem for Operators in Fock Space
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.
Mathematics Subject Classification81T16 81T17
Keywordsnon-relativistic quantum electrodynamics Fock space operator theoretic renormalization
Unable to display preview. Download preview PDF.