Quantization from Hamilton–Jacobi theory with a random constraint

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 ±ħ/2 with equal probability.

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Year of publication:	2012
Authors:	Budiyono, Agung
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 20, p. 4583-4589
Publisher:	Elsevier
Subject:	Quantization \| Hamilton–Jacobi theory \| Random constraint

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060912