Epistemic uncertainty from an averaged Hamilton-Jacobi formalism
Quantum Physics
2022-06-01 v1 Mathematical Physics
math.MP
Atomic Physics
Abstract
In recent years, the non-relativistic quantum dynamics derived from three assumptions; i) probability current conservation, ii) average energy conservation, and iii) an epistemic momentum uncertainty [A. Budiyono and D. Rohrlich, \href{https://doi.org/10.1038/s41467-017-01375-w}{Nat. Commun 8, 1306 (2017)}]. Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.
Keywords
Cite
@article{arxiv.2204.07489,
title = {Epistemic uncertainty from an averaged Hamilton-Jacobi formalism},
author = {M. J. Kazemi and S. Y. Rokni},
journal= {arXiv preprint arXiv:2204.07489},
year = {2022}
}
Comments
Accepted in Foundations of physics