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The Density Matrix in the de Broglie--Bohm Approach

O. J. E. Maroney

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

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Statistical mechanics and the ontological interpretation.D. Bohm & B. J. Hiley - 1996 - Foundations of Physics 26 (6):823-846.details To complete our ontological interpretation of quantum theory we have to conclude a treatment of quantum statistical mechanics. The basic concepts in the ontological approach are the particle and the wave function. The density matrix cannot play a fundamental role here. Therefore quantum statistical mechanics will require a further statistical distribution over wave functions in addition to the distribution of particles that have a specified wave function. Ultimately the wave function of the universe will he required, but we show that (...) Download Export citation Bookmark 1 citation
The persistence of memory: Surreal trajectories in Bohm's theory.Jeffrey A. Barrett - 2000 - Philosophy of Science 67 (4):680-703.details In this paper I describe the history of the surreal trajectories problem and argue that in fact it is not a problem for Bohm's theory. More specifically, I argue that one can take the particle trajectories predicted by Bohm's theory to be the actual trajectories that particles follow and that there is no reason to suppose that good particle detectors are somehow fooled in the context of the surreal trajectories experiments. Rather than showing that Bohm's theory predicts the wrong particle (...) Download Export citation Bookmark 18 citations
Bohmian mechanics and quantum theory: an appraisal.James T. Cushing, Arthur Fine & Sheldon Goldstein - 1996 - Springer.details We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm (...) Download Export citation Bookmark 28 citations
Irreversibility; or, entropy since 1905.Karl R. Popper - 1957 - British Journal for the Philosophy of Science 8 (30):151-155.details Download Export citation Bookmark 11 citations
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.details The aim of this article is to analyse the relation between the second law of thermodynamics and the so-called arrow of time. For this purpose, a number of different aspects in this arrow of time are distinguished, in particular those of time-reversal (non-)invariance and of (ir)reversibility. Next I review versions of the second law in the work of Carnot, Clausius, Kelvin, Planck, Gibbs, Caratheodory and Lieb and Yngvason, and investigate their connection with these aspects of the arrow of time. It (...) Download Export citation Bookmark 86 citations

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