Statistical Origin of Quantum Mechanics
Abstract
The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical kinetics, allows us: i) to obtain the probabilistic nature of the quantum description and to interpret the wave function according to the Copenhagen school; ii) to derive the quantum potential and then the Schr\"odinger equation; iii) to calculate the values of the physical observables as mean values of the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.
Keywords
Cite
@article{arxiv.quant-ph/0112049,
title = {Statistical Origin of Quantum Mechanics},
author = {G. Kaniadakis},
journal= {arXiv preprint arXiv:quant-ph/0112049},
year = {2009}
}
Comments
Accepted for publication in Physica A