Bohmian Mechanics and the Foundations of Quantum Mechanics

Mathematical Physics

No attempt will be made here to explain what mathematical physics is about. There is no general agreement even among the experts. Moreover, this field of research is regarded as somewhat dubious by many physicists. However, the following words of Maxwell are right on target:

Foundations of Quantum Mechanics

Nobody has explained why we should worry about the foundations of quantum mechanics better than John Bell:

*The picture of Bell is courtesy of Martin Daumer*

Bohmian Mechanics

Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. However, this deterministic theory of particles in motion completely accounts for all the phenomena of nonrelativistic quantum mechanics, from spectral lines to interference effects, and it does so in a completely ordinary manner. It was first presented in 1927 by Louis de Broglie, just after the inception of quantum mechanics itself. It was soon abandoned and utterly ignored until rediscovered a quarter century later by David Bohm, who showed how it resolved the measurement problem and accounted for the reduction of the wave packet. Its principal advocate for the past three decades was John Bell:

For a little more on Bohmian mechanics click here; for more detail, click here.

*The picture of the two-slit interference patterm is courtesy of Martin Daumer*

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