Abstract
A description of relativistic quantum mechanical systems is introduced, in which the states depend on the possible information of the observer. The possibility of information is limited by Einstein-causality for classical systems (
). Observables belonging to measurements in finite regions of the Minkowskispace have a degenerate spectrum. The measurement of such an observable leads to a mixture; for the description of such a mixture we use a proposal first made byLüders (
). We assume the locality condition for the observables (ℒ), this means the commutativity of two observables measured in two relatively space-like regions. The main result is the equivalence of (ℒ), (
), (
) on the one side and (
) and (
) on the other side. (
) is the Einstein-causality including quantum mechanical systems. The idealisation of a measurement as a point event is used for the derivation of this result.
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Schlieder, S. Einige Bemerkungen zur Zustandsänderung von relativistischen quantenmechanischen Systemen durch Messungen und zur Lokalitätsforderung. Commun.Math. Phys. 7, 305–331 (1968). https://doi.org/10.1007/BF01646663
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DOI: https://doi.org/10.1007/BF01646663