On the quantization of mechanical systems
Mathematical Physics
2018-02-05 v2 math.MP
Abstract
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.
Cite
@article{arxiv.1701.04239,
title = {On the quantization of mechanical systems},
author = {J. Muñoz-Díaz and R. J. Alonso-Blanco},
journal= {arXiv preprint arXiv:1701.04239},
year = {2018}
}
Comments
Text reworked with some additional considerations and small changes in references