Position operators as integrals with respect to Euclidean systems of covariance

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Abstract

Position operators (p.o.) for relativistic elementary quantum systems are constructed as operator-valued integrals with respect to Euclidean systems of covariance (ESC), i.e., positive operator-valued (POV) measures being covariant under the Euclidean group, and are expressed in terms of the generators of the Poincaré transformations. These p.o. are partly well-known in the literature where they are found by other methods.

Original languageEnglish
Pages (from-to)261-269
Number of pages9
JournalLetters in Mathematical Physics
Volume6
Issue number4
DOIs
StatePublished - Jul 1982

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