The Analogue of Bohm-Bell Processes on a Graph

dc.creatorTumulka, Roderich
dc.date2005-08-15
dc.date2005-08-26
dc.date.accessioned2026-07-07T06:24:01Z
dc.date.available2026-07-07T06:24:01Z
dc.descriptionBohm-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 $|ψ_t|^2$ with $ψ$ 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.
dc.description15 pages LaTeX, 1 figure; v2 minor corrections
dc.identifierhttps://arxiv.org/abs/quant-ph/0508109
dc.identifierhttp://arxiv.org/abs/quant-ph/0508109
dc.identifierPhysics Letters A 348 (2005) 126-134
dc.identifierdoi:10.1016/j.physleta.2005.08.042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96408
dc.subjectQuantum Physics
dc.titleThe Analogue of Bohm-Bell Processes on a Graph
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