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Phys. Rev. A 48, 1808–1818 (1993)

Quantum mechanics in terms of discrete beables

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Jeroen C. Vink
Department of Physics 0319, University of California at San Diego, La Jolla, California 92093

Received 15 April 1993; published in the issue dated September 1993

An interpretation of quantum mechanics in terms of classical concepts, ‘‘beables,’’ due to de Broglie, Bohm, and Bell (BBB) is generalized and further developed. By assuming that all physical quantities take discrete values on sufficiently small scales, we can use this interpretation to give trajectories for all possible quantities, including the position of a particle, its spin, etc. When applied to position, it is shown that, in the continuum limit, this interpretation reduces to the causal one of Bohm. As an illustration, the BBB trajectories are computed explicitly in two simple models.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.48.1808
DOI:
10.1103/PhysRevA.48.1808
PACS:
03.65.Bz