Hypersurface Bohm-Dirac models

Detlef Dürr, Sheldon Goldstein, Karin Münch-Berndl, Nino Zanghì

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2729-2736
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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