Phys. Rev. A 60, 2729–2736 (1999)Hypersurface Bohm-Dirac modelsReceived 8 December 1997; published in the issue dated October 1999 We define a class of Lorentz-invariant Bohmian quantum models for N entangled but noninteracting Dirac particles. Lorentz invariance is achieved for these models through the incorporation of an additional dynamical space-time structure provided by a foliation of space time. These models can be regarded as the extension of Bohm’s model for N Dirac particles, corresponding to the foliation into the equal-time hyperplanes for a distinguished Lorentz frame, to more general foliations. As with Bohm’s model, there exists for these models an equivariant measure on the leaves of the foliation. This makes possible a simple statistical analysis of position correlations analogous to the equilibrium analysis for (the nonrelativistic) Bohmian mechanics. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.2729
DOI:
10.1103/PhysRevA.60.2729
PACS:
03.65.Bz
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