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arXiv · 1809.06072

The Dirac-Bohm Picture

B. J. Hiley·G. Dennis
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Abstract

We examine Dirac's early algebraic approach which introduces the {\em standard} ket and show that it emerges more clearly from a unitary transformation of the operators based on the action. This establishes a new picture that is unitarily equivalent to both the Schr\"{o}dinger and Heisenberg pictures. We will call this the Dirac-Bohm picture for the reasons we discuss in the paper. This picture forms the basis of the Feynman path theory and allows us to show that the so-called `Bohm trajectories' are averages of an ensemble of Feynman paths.

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B. J. Hiley, G. Dennis. 2018-09-17. The Dirac-Bohm Picture. https://arxiv.org/abs/1809.06072

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