Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics
Quantum Physics
2015-06-23 v1
Abstract
Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate constraints. In this paper we show how a Hamiltonian dynamics arises as a type of non-dissipative entropic dynamics. We also show that the particular form of the "quantum potential" that leads to the Schroedinger equation follows naturally from information geometry.
Keywords
Cite
@article{arxiv.1412.5629,
title = {Entropic Dynamics: from Entropy and Information Geometry to Hamiltonians and Quantum Mechanics},
author = {Ariel Caticha and Daniel Bartolomeo and Marcel Reginatto},
journal= {arXiv preprint arXiv:1412.5629},
year = {2015}
}
Comments
11 pages. Presented at MaxEnt 2014, the 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (September 21-26, 2014, Amboise, France)