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arxiv: 1809.06072 · v1 · pith:36KARXK7new · submitted 2018-09-17 · 🪐 quant-ph

The Dirac-Bohm Picture

classification 🪐 quant-ph
keywords picturedirac-bohmfeynmanactionalgebraicallowsapproachaverages
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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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