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Estimating Bohm’s quantum force using Bayesian statistics

2003/09/18 by Jeremy B. Maddox, Eric R. Bittner · 2 citations
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #Quantum Information and Cryptography

paper · doi:10.1063/1.1604772

openalex publication_date 2003/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

In this paper we develop an approximate methodológy for estimating the multidimensional quantum density associated with a statistical bundle of de Broglie–Bohm trajectories. The quantum density is constructed as a discrete sum of nonequivalent Gaussian components. We incorporate the ideas of Bayesian statistical analysis and an expectation-maximization procedure to compute an approximate quantum force that drives the statistical ensemble quantum trajectories.

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