Generalized Schrödinger equation using Tsallis entropy

In a previous paper we developed an axiomatic approach to quantum mechanics that allowed us to derived the Schrödinger equation from first principles, using the concept of the Boltzmann–Gibbs entropy. In the present continuation paper we will generalize our derivation to the whole class of Tsallis entropies, whose particular case q=1 is just the Boltzmann–Gibbs one. We will thus arrive at a q-generalized Schrödinger equation presenting a great number of new features, absent from the usual q=1 particular case