  We propose a heuristic derivation of Casimir effect in the context of minimal
length theories based on a Generalized Uncertainty Principle (GUP). By
considering a GUP with only a quadratic term in the momentum, we compute
corrections to the standard formula of Casimir energy for the parallel-plate
geometry, the sphere and the cylindrical shell. For the first configuration, we
show that our result is consistent with the one obtained via more rigorous
calculations in Quantum Field Theory. Experimental developments are finally
discussed.
