Broglie-Bohm (BB) interpretation

My dear friend Lee Nichol, editor of David Bohm, par excellence, and yours truly sat down last night and had dinner at Savoy, one of my favourites hanger outers. Place is big, rather well done, great patio: hot as hell-not humid-food is ok+, management just precious (good friends also). We had yellow jack: Carangoides bartholomaei, a very unsual treat. I love mackerel jacks, grew up on it in Chile, different species though and  indulged with some California whites. Rob, one of the managers and bartenders alerted me that this an atlantic species: i could swear i ate yellow jack in Bahia Inglesa, Northern Chile: ill look it up. During our conversation I realized, and some have pointed out this to me, that not everybody is REALLY sure about Bohmian interpretations. I am using Stanford Encyclopedia of Philosophy(??) entry by Sheldon Goldstein, Rutgers, which is really good:

“Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, according to Schrödinger’s equation. However, the wave function provides only a partial description of the system. This description is completed by the specification of the actual positions of the particles. The latter evolve according to the “guiding equation,” which expresses the velocities of the particles in terms of the wave function. Thus, in Bohmian mechanics the configuration of a system of particles evolves via a deterministic motion choreographed by the wave function. In particular, when a particle is sent into a two-slit apparatus, the slit through which it passes and where it arrives on the photographic plate are completely determined by its initial position and wave function.

Bohmian mechanics inherits and makes explicit the nonlocality implicit in the notion, common to just about all formulations and interpretations of quantum theory, of a wave function on the configuration space of a many-particle system. It accounts for all of the phenomena governed by nonrelativistic quantum mechanics, from spectral lines and scattering theory to superconductivity, the quantum Hall effect and quantum computing. In particular, the usual measurement postulates of quantum theory, including collapse of the wave function and probabilities given by the absolute square of probability amplitudes, emerge from an analysis of the two equations of motion — Schrödinger’s equation and the guiding equation – without the traditional invocation of a special, and somewhat obscure, status for observation” this is the website with the whole thing. Hopefully will be useful.


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