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The Dirac-Bohm Picture

Hiley, B.Dennis, G. TPRU, Birkbeck,
University of London, UK

Physics Department,
University College London, UK
2018 Physics

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.

Full article

This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.