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Hypersurface bohmdirac models
 Phys. Rev. A
, 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 spacetime structure provided by a foliation of spacetime. These models can be regar ..."
Abstract

Cited by 8 (2 self)
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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 spacetime structure provided by a foliation of spacetime. These models can be regarded as the extension of Bohm’s model for N Dirac particles, corresponding to the foliation into the equaltime 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.
A hypersurface BohmDirac theory
, 1997
"... We formulate a scheme for a Lorentz invariant Bohmian quantum theory for N noninteracting Dirac particles involving as an additional beable a foliation of spacetime. This theory, which is a generalization of Bohm’s theory for N Dirac particles, allows for an equivariant measure on the leafs of the ..."
Abstract
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We formulate a scheme for a Lorentz invariant Bohmian quantum theory for N noninteracting Dirac particles involving as an additional beable a foliation of spacetime. This theory, which is a generalization of Bohm’s theory for N Dirac particles, allows for an equivariant measure on the leafs of the foliation—and hence for a simple statistical analysis analogous to the equilibrium analysis of nonrelativistic Bohmian mechanics—no matter how the foliation is determined.