The Dirac-Bohm Picture
Quantum Physics
2018-09-18 v1
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.
Cite
@article{arxiv.1809.06072,
title = {The Dirac-Bohm Picture},
author = {B. J. Hiley and G. Dennis},
journal= {arXiv preprint arXiv:1809.06072},
year = {2018}
}
Comments
15 pages, 1 figure