The magnetic field due to the photon rest mass ${m}_{ph}$ modifies the standard results of the Aharonov-Bohm effect for electrons, and of other recent quantum effects. For the effect involving a coherent superposition of beams of particles with opposite electromagnetic properties, by means of a tabletop experiment, the limit ${m}_{ph}\ensuremath{\simeq}{10}^{\ensuremath{-}51}\text{ }\text{g}$ is achievable, improving by 6 orders of magnitude that derived by Boulware and Deser for the Aharonov-Bohm effect.