Article

Foundations of Physics

, Volume 40, Issue 4, pp 356-367

On the Relationship Between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step to a More General Theory?

  • B. J. HileyAffiliated withTPRU, Birkbeck, University of London Email author 

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Abstract

In this paper we show that the three main equations used by Bohm in his approach to quantum mechanics are already contained in the earlier paper by Moyal which forms the basis for what is known as the Wigner-Moyal approach. This shows, contrary to the usual perception, that there is a deep relation between the two approaches. We suggest the relevance of this result to the more general problem of constructing a quantum geometry.

Keywords

Quantum mechanics Bohm approach Wigner-Moyal approach Quantum geometries