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  • American Institute of Physics (AIP)  (1)
  • American Physical Society (APS)
  • Oxford University Press
  • 2015-2019
  • 2010-2014
  • 1990-1994  (1)
  • 1965-1969
  • 1993  (1)
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  • 2015-2019
  • 2010-2014
  • 1990-1994  (1)
  • 1965-1969
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  • 1
    Electronic Resource
    Electronic Resource
    A convergent lattice approximation for nonlinear electromagnetic fields in four dimensions (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 3327-3342 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A discrete version of the quaternionic Cauchy–Riemann equation ∂A=F, where F is Gauss–Poisson white noise, is discussed. On the lattice δZ4 random variables Fδ(δn) and Aδ(δn) are constructed which approximate the corresponding random fields F and A, respectively, in the limit δ→0. In the Gaussian case the random variables Aδ(δn) can be interpreted as the lattice approximation of the free electromagnetic Euclidean potential field whereas in the non-Gaussian case one obtains an approximation of nonlinear interacting electromagnetic quantum fields. Convergence to the continuum limit is proven.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530079
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