On the description of subsystems in relativistic hypersurface Bohmian mechanics

Abstract

A candidate for a realistic relativistic quantum theory is the hypersurface Bohm-Dirac model. Its formulation uses a foliation of spacetime into space-like hypersurfaces. This structure may well arise from the universal wave function itself, entailing the relativistic character of the theory despite the appearance of a preferred foliation. However, to apply the theory and to make contact with the usual quantum formalism one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated as compared to the non-relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clarify their relation, thereby generalizing previous subsystem descriptions in the non-relativistic case.

15 pages

References in corpus (3)

• On the Role of Density Matrices in Bohmian Mechanics
• Multi-Time Wave Functions for Quantum Field Theory
• Multi-Time Schrödinger Equations Cannot Contain Interaction Potentials

Cited by in corpus (4)

• A relativistically interacting exactly solvable multi-time model for two mass-less Dirac particles in 1+1 dimensions
• A simple explicitly solvable interacting relativistic N-particle model
• On the question of current conservation for the Two-Body Dirac equations of constraint theory
• Consequences of a Two-Time Relativistic Bohmian Model