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Gauge transformations in stochastic quantum electrodynamics

Il Nuovo Cimento, 1965
Invariance of the S-matrix of ordinary quantum electrodynamics under gauge transformations of the electromagnetic field is demonstrated explicitly. The behavior of the S-matrix of stochastic quantum electrodynamics is examined under gauge transformations of the mean value electromagnetic fieldAπ(x;L).
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Solution of BVPs in electrodynamics by stochastic methods

2007 IEEE Applied Electromagnetics Conference (AEMC), 2007
Field computation by the stochastic differential equation (SDE) method is demonstrated for electrostatic and electrodynamic propagation problems by considering simple examples. The solution to the inhomogeneous Helmholtz equation is first related to that a Schrodinger type of equation (parabolic in nature) by means of Laplace transformation.
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