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Quantum trajectories, real, surreal or an approximation to a deeper process?

B. J. Hiley·R. E Callaghan·O. Maroney
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Abstract

The proposal that the one-parameter solutions of the real part of the Schrodinger equation (quantum Hamilton-Jacobi equation) can be regarded as `quantum particle trajectories' has received considerable attention recently. Opinions as to their significance differ. Some argue that they do play a fundamental role as actual particle trajectories, others regard them as mere metaphysical appendages without any physical significance. Recent work has claimed that in some cases the Bohm approach gives results that disagree with those obtained from standard quantum mechanics and, in consequence, with experiment. Furthermore it is claimed that these trajectories have such unacceptable properties that they can only be considered as `surreal'. We re-examine these questions and show that the specific objections raised by Englert, Scully, Sussmann and Walther cannot be sustained. We also argue that contrary to their negative view, these trajectories can provide a deeper insight into quantum processes.

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B. J. Hiley, R. E Callaghan, O. Maroney. 2000-11-05. Quantum trajectories, real, surreal or an approximation to a deeper process?. https://arxiv.org/abs/quant-ph/0010020

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