Fock空间中算子的一个消失定理
A vanishing theorem for operators in Fock space
摘要：
我们考虑三维横截向量场的Hilbert空间上的玻色Fock空间。这个空间携带旋转群的规范表示。对于Fock空间中的某类算子，我们证明了旋转不变性意味着不存在只产生或湮灭单个粒子的项。我们概述了这一结果的应用在一个运营商的理论重整化分析汉密尔顿运营商，这发生在非相对论qed。
英文摘要：
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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