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arXiv · 1205.0244

Quantization from Hamilton-Jacobi theory with a random constraint

Agung Budiyono
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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 $\pm\hbar/2$ with equal probability.

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Agung Budiyono. 2012-05-21. Quantization from Hamilton-Jacobi theory with a random constraint. https://doi.org/10.1016/j.physa.2012.05.046

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