Quantization from Hamilton–Jacobi theory with a random constraint

Agung Budiyono

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 20, 4583-4589

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 ±ħ/2 with equal probability.

Keywords: Quantization; Hamilton–Jacobi theory; Random constraint (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:20:p:4583-4589

DOI: 10.1016/j.physa.2012.05.046

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