The Density Matrix in the de Broglie--Bohm Approach

Foundations of Physics 35 (3):493-510 (2005)
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Abstract

If the density matrix is treated as an objective description of individual systems, it may become possible to attribute the same objective significance to statistical mechanical properties, such as entropy or temperature, as to properties such as mass or energy. It is shown that the de Broglie--Bohm interpretation of quantum theory can be consistently applied to density matrices as a description of individual systems. The resultant trajectories are examined for the case of the delayed choice interferometer, for which Bell [Int. J. Quantum chem. 155--159, (1980)] appears to suggest that such an interpretation is not possible. Bell’s argument is shown to be based upon a different understanding of the density matrix to that proposed here

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References found in this work

Bluff Your Way in the Second Law of Thermodynamics.Jos Uffink - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (3):305-394.
Irreversibility; or, entropy since 1905.Karl R. Popper - 1957 - British Journal for the Philosophy of Science 8 (30):151-155.
Statistical mechanics and the ontological interpretation.D. Bohm & B. J. Hiley - 1996 - Foundations of Physics 26 (6):823-846.

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