Quantum to Classical: Exploring Intermediate States through Varying Uncertainty

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Loren Booda
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A rule of thumb seems to be that a quantum equation converts to its classical correspondent by replacing h (Planck's constant) in the former with zero for the latter. What do you think about the possibility for a continuum of intervening equations, wherein h eventually decreases to zero? Would this suggest mathematical states of decoherence, or of any physically viable phenomenon?
 

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dear,
this is with correspondance principal.Also you cannot replace h by 0 for all particles as h has dimensions.'h' contributes very small in case of macroscopic particle hence is ignorable.
 
As h-->0, it maintains units of erg-seconds. I am trying to explore actions intermediate to those strictly quantum or classical by varying uncertainty in a manner consistent with such a "rule of thumb" as I mentioned above.