Quantization from Hamilton-Jacobi theory with a random constraint

Abstract

We propose a method of quantization based on Hamilton-Jacobi theory in the presence of a random constraint due to the fluctuations of a set of hidden random variables. Given a Lagrangian, it reproduces the results of canonical quantization yet with a unique ordering of operators if the Lagrange multiplier that arises in the dynamical system with constraint can only take binary values $\pm \hslash /2$ with equal probability.

6 pages, accepted for publication in Physica A

References in corpus (1)

• Grounding Bohmian Mechanics in Weak Values and Bayesianism

Cited by in corpus (2)

• Quantization from an exponential distribution of infinitesimal action
• Objective uncertainty relation with classical background in a statistical model