Quantized Fields and Operators on a Partial Inner Product Space

摘要

We investigate the connection between the space OpV of all operators on a partial inner product space V and the weak sequential completion of the * algebra L sup + (Vsup(no.)) of all operators X such that Vsup(no.) is contained in D(X) intersection D(X*) and both X and its adjoint X* leave Vsup(no.) invariant. This connection gives a mathematical description of quantized fields in terms of elements of OpV. 10 refs. (Atomindex citation 17:063325)