The Analogue of Bohm-Bell Processes on a Graph

Details The Analogue of Bohm-Bell Processes on a Graph The Analogue of Bohm-Bell Processes on a Graph

2005-08-15

arxiv.org/abs/quant-ph/0508109v2

Physics Letters A 348 (2005) 126-134

Physics

Quantum Physics

15 pages LaTeX, 1 figure; v2 minor corrections

Scientific paper

10.1016/j.physleta.2005.08.042

Bohm-Bell processes, of interest in the foundations of quantum field theory, form a class of Markov processes $Q_t$ generalizing in a natural way both Bohm's dynamical system in configuration space for nonrelativistic quantum mechanics and Bell's jump process for lattice quantum field theories. They are such that at any time $t$ the distribution of $Q_t$ is $|\psi_t|^2$ with $\psi$ the wave function of quantum theory. We extend this class here by introducing the analogous Markov process for quantum mechanics on a graph (also called a network, i.e., a space consisting of line segments glued together at their ends). It is a piecewise deterministic process whose innovations occur only when it passes through a vertex.

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