Hypersurface Bohm-Dirac models

Detlef Dürr, Sheldon Goldstein, Karin Münch-Berndl, and Nino Zanghì
Phys. Rev. A 60, 2729 – Published 1 October 1999
PDFExport Citation

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.

  • Received 8 December 1997

DOI:https://doi.org/10.1103/PhysRevA.60.2729

©1999 American Physical Society

Authors & Affiliations

Detlef Dürr

  • Mathematisches Institut der Universität München, Theresienstraße 39, 80333 München, Germany

Sheldon Goldstein

  • Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903

Karin Münch-Berndl

  • Institut für Angewandte Mathematik, Universität Zürich-Irchel, Winterthurer Strasse 190, 8057 Zürich, Switzerland

Nino Zanghì

  • Dipartimento di Fisica, Università di Genova, Sezione INFN Genova, Via Dodecaneso 33, 16146 Genova, Italy

References (Subscription Required)

Click to Expand
Issue

Vol. 60, Iss. 4 — October 1999

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×