On the quantization of mechanical systems

J. Muñoz-Díaz, R. J. Alonso-Blanco

Published 2017-01-16Version 1

We present a canonical way of assigning to each magnitude of a classical mechanical system a differential operator in the configuration space, thus rigorously establishing the Correspondence Principle for such systems. Here we show how each classical state given in the whole system determine, for each classical magnitude, a wave equation, whose solutions are the possible quantum states for the given state and classical magnitude. Classical states and quantum states corresponding with the same system are reciprocally conditioned.