The Dirac-Bohm PicturearXiv:1809
We examine Dirac’s early algebraic approach which introduces the 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 ̈odinger 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.
The article was published in: arXiv preprint arXiv:1809.06072.
This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.