Generalized Schrodinger equation using Tsallis entropy

In a previous paper we developed an axiomatic approach to quantum mechanics that allowed us to derived the Schrodinger equation from first principles, using the concept of the Boltzmann-Gibbs entropy. In the present continuat ion paper we will generalize our derivation to the whole class of Tsallis e ntropies, whose particular case q = 1 is just the Boltzmann-Gibbs one. We w ill thus arrive at a g-generalized Schrodinger equation presenting a great number of new features, absent from the usual q = 1 particular case. (C) 19 99 Elsevier Science B.V. All rights reserved.