A Theory of Quantum Measurement Based on the CCR Algebra L${}^{+}(\mathcal{W})$

Abstract

Starting from L${}^{+}(\mathcal{W})$ as the algebra of observables, $\mathcal{W}$ a space of type $\mathcal{S}$, a theory of quantum measurement is devised. It is based on the theory of Davies and Lewis, but adapted to unbounded symmetric operators defined on a common dense domain and no restriction on the spectra.