Euclidean electromagnetic field as Ito's random current: A simple proof of Markov property

DOI10.1007/BF00943432zbMath0464.58022OpenAlexW1981763786MaRDI QIDQ1154170

S. H. Smith

Publication date: 1980

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00943432

zbMATH Keywords

de Rham current with values in the Hilbert space of all random variables with zero mean and finite covariancefree electromagnetic field in Minkowski space-timeMarkov property of an Euclidean electromagnetic fieldsmooth sections of real vector bundles of 2-forms on 4-space

Mathematics Subject Classification ID

Applications of PDEs on manifolds (58J90) Electromagnetic theory (general) (78A25) Continuous-time Markov processes on discrete state spaces (60J27) Boundary theory for Markov processes (60J50) Currents in global analysis (58A25)

Related Items (3)

The Markoff property of the free Euclidean electromagnetic field ⋮ Unnamed Item ⋮ Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure

Cites Work

• The free Markoff field

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