Eur. Phys. J. Spec. Top. (2021) 230: 923-929
https://doi.org/10.1140/epjs/s11734-021-00066-4

Regular Article

Relevance of stochasticity for the emergence of quantization

Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico

^a ana@fisica.unam.mx

Received: 10 April 2020
Accepted: 5 January 2021
Published online: 12 April 2021

Abstract

The theories of stochastic quantum mechanics and stochastic electrodynamics bring to light important aspects of the quantum dynamics that are concealed in the standard formalism. Here, we take further previous work regarding the connection between the two theories, to exhibit the role of stochasticity and diffusion in the process leading from the originally classical + zpf regime to the quantum regime. Quantumlike phenomena present in other instances in which a mechanical system is subject to an appropriate oscillating background that introduces stochasticity, may point to a more general appearance of quantization under such circumstances.