dorsal/arxiv
View SchemaThe Analogue of Bohm-Bell Processes on a Graph
| Authors | Roderich Tumulka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508109 |
| URL | https://arxiv.org/abs/quant-ph/0508109 |
| DOI | 10.1016/j.physleta.2005.08.042 |
| Journal | Physics Letters A 348 (2005) 126-134 |
Abstract
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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"abstract": "Bohm-Bell processes, of interest in the foundations of quantum field theory,\nform a class of Markov processes $Q_t$ generalizing in a natural way both\nBohm\u0027s dynamical system in configuration space for nonrelativistic quantum\nmechanics and Bell\u0027s jump process for lattice quantum field theories. They are\nsuch that at any time $t$ the distribution of $Q_t$ is $|\\psi_t|^2$ with $\\psi$\nthe wave function of quantum theory. We extend this class here by introducing\nthe analogous Markov process for quantum mechanics on a graph (also called a\nnetwork, i.e., a space consisting of line segments glued together at their\nends). It is a piecewise deterministic process whose innovations occur only\nwhen it passes through a vertex.",
"arxiv_id": "quant-ph/0508109",
"authors": [
"Roderich Tumulka"
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"quant-ph"
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"doi": "10.1016/j.physleta.2005.08.042",
"journal_ref": "Physics Letters A 348 (2005) 126-134",
"title": "The Analogue of Bohm-Bell Processes on a Graph",
"url": "https://arxiv.org/abs/quant-ph/0508109"
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