THE SOBOLEV INEQUALITY AND THE TSALLIS ENTROPIC UNCERTAINTY RELATION

The Heisenberg uncertainty relation is expressed in terms of the Tsall is entropies associated with the conjugate coordinate and momentum pro bability densities. By rewriting this in terms of a positive joint pro bability distribution suggested by Cohen and coworkers, a different in sight into the statistical dependence of the quantum variables is obta ined. A discussion of how this improves the previous results on this s ubject is given.