  The nonrelativistic limit of nonlocal modifications to the Klein Gordon
operator is studied, and the experimental possibilities of casting stringent
constraints on the nonlocality scale via planned and/or current optomechanical
experiments are discussed. Details of the perturbative analysis and
semianalitical simulations leading to the dynamical evolution of a quantum
harmonic oscillator in the presence of non locality reported in [1], together
with a comprehensive account of the experimental methodology with particular
regard to sensitivity limitations related to thermal decoherence time and
active cooling of the oscillator, are given. Finally, a strategy for detecting
non-locality scales of the order of $10^{- 22} \div 10^{- 26}$ m by means of
the spontaneous time periodic squeezing of quantum coherent states is provided.
