Hypersurface Bohm-Dirac models

Details Hypersurface Bohm-Dirac models Hypersurface Bohm-Dirac models

1998-01-30

arxiv.org/abs/quant-ph/9801070v2

Phys.Rev. A60 (1999) 2729-2736

Physics

Quantum Physics

17 pages, 3 figures, RevTex. Completely revised version

Scientific paper

10.1103/PhysRevA.60.2729

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.

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