ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.530079
