  In addition to the usual supersymmetric (SUSY) continuous symmetry
transformations for the general N = 2 SUSY quantum mechanical model, we show
the existence of a set of novel discrete symmetry transformations for the
Lagrangian of the above SUSY quantum mechanical model. Out of all these
discrete symmetry transformations, a unique discrete transformation corresponds
to the Hodge duality operation of differential geometry and the above SUSY
continuous symmetry transformations (and their anticommutator) provide the
physical realizations of the de Rham cohomological operators of differential
geometry. Thus, we provide a concrete proof of our earlier conjecture that any
arbitrary N= 2 SUSY quantum mechanical model is an example of a Hodge theory
where the cohomological operators find their physical realizations in the
language of symmetry transformations of this theory. Possible physical
implications of our present study are pointed out, too.
