Bohm Trajectories as Approximations to Properly Fluctuating Quantum Trajectories

Pisin Chen; Hagen Kleinert

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arXiv · 1308.5021

Bohm Trajectories as Approximations to Properly Fluctuating Quantum Trajectories

Pisin Chen·Hagen Kleinert

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Abstract

We explain the approximate nature of particle trajectories in Bohm's quantum mechanics. They are streamlines of a superfluid in Madelung's reformulation of the Schrödinger wave function, around which the proper particle trajectories perform their quantum mechanical fluctuations to ensure Heisenberg's uncertainty relation between position and momentum.

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Pisin Chen, Hagen Kleinert. 2013-08-23. Bohm Trajectories as Approximations to Properly Fluctuating Quantum Trajectories. https://arxiv.org/abs/1308.5021

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