Abstract
A detailed discussion of the physical significance of the relativistic quantum state diffusion model developed by the authors is presented. The Poincaré group is represented as the group of transformations acting on the probability density functionals of the stochastic process which describes the irreversible dynamics of the state vector. The generators of the group are constructed as functional differential operators which satisfy the Poincaré algebra. The dynamical localization of the state vector in the relativistic domain is studied and shown to yield the covariant state vector reduction postulate of Aharonov and Albert. It is demonstrated further that the quantum state diffusion model of Gisin and Percival is obtained as the non-relativistic limit of the theory. A relativistically covariant stochastic evolution equation for an arbitrary distribution of local measurements is derived. This stochastic equation represents a piecewise deterministic process which contains all non-local quantum correlations.
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© 1999 Springer-Verlag
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Breuer, HP., Petruccione, F. (1999). Stochastic unraveling of relativistic quantum measurements. In: Breuer, HP., Petruccione, F. (eds) Open Systems and Measurement in Relativistic Quantum Theory. Lecture Notes in Physics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104400
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DOI: https://doi.org/10.1007/BFb0104400
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