Generalized entropy as a measure of quantum uncertainty

A generalized entropy is used in order to advance a different form of expressing the Uncertainty Principle of Quantum mechanics. We consider the generalized entropic formulation for different pairs of incompatible observables. In particular, we study the number-phase entropic uncertainty measure for the case of coherent states within the Pegg-Barnett theory. We also tackle the situation of operators with continuous spectra, where a correlation functional is calculated in terms of generalized joint and marginal entropies, for harmonic oscillator wavefunctions.