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Hypersurface Bohm-Dirac models

D. Duerr·S. Goldstein·K. Muench-Berndl·N. Zanghi
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Abstract

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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D. Duerr, S. Goldstein, K. Muench-Berndl, N. Zanghi. 1999-05-28. Hypersurface Bohm-Dirac models. https://doi.org/10.1103/physreva.60.2729

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