An alternative to the Lüders generalization of the von Neumann projection, and its interpretation

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Abstract

An alternative to the Lüders generalization of the von Neumann projection is formulated allowing a generalization to measurements represented by positive operator-valued measures. This generalization is based on the notions of non-orthogonal projections and bi-orthonormal systems in Hilbert-Schmidt space, and is closely related to phase-space representations of quantum mechanics. A number of applications will be discussed. It is demonstrated that the alternative projection has a natural interpretation as a representation of the information on the initial state, to be obtained by the measurement.
Original languageEnglish
Pages (from-to)431-444
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number2
DOIs
Publication statusPublished - 1998

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