Numerical calculation of classical and non-classical electrostatic potentials

Christensen, Dan; Neyenhuis, Brian; Durfee, Dallin S.

Numerical calculation of classical and non-classical electrostatic potentials

Authors

Christensen, Dan

Neyenhuis, Brian

Durfee, Dallin S.

Description

We present a numerical exercise in which classical and non-classical electrostatic potentials were calculated. The non-classical fields take into account effects due to a possible non-zero photon rest mass. We show that in the limit of small photon rest mass, both the classical and non-classical potential can be found by solving Poisson's equation twice, using the first calculation as a source term in the second calculation. Our results support the assumptions in a recent proposal to use ion interferometry to search for a non-zero photon rest mass.
5 pages, 4 figures