Bohm interpretation

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The de Broglie–Bohm theory, also called the pilot-wave theory, Bohmian mechanics, and the causal interpretation, is an interpretation of quantum theory. As in quantum theory, it contains a wavefunction - a function on the space of all possible configurations. Additionally, it also contains an actual configuration, even in situations where nobody observes it. The evolution over time of the configuration (that is, of the positions of all particles or the configuration of all fields) is defined by the wave function via a guiding equation. The evolution of the wavefunction over time is given by Schrödinger's equation.

The de Broglie–Bohm theory expresses in an explicit manner the fundamental non-locality in quantum physics. The velocity of any one particle depends on the value of the wavefunction, which depends on the whole configuration of the universe.

This theory is deterministic. Most (but not all) relativistic variants require a preferred frame. Variants which handle spin and curved spaces are known. It can be modified to handle quantum field theory. Bell's theorem was inspired by Bell's discovery of the work of David Bohm and his subsequent wondering if the obvious non-locality of the theory could be removed.

This theory gives rise to a measurement formalism, analogous to thermodynamics for classical mechanics, which yields the standard quantum formalism generally associated with the Copenhagen interpretation. The measurement problem is resolved by this theory since the outcome of an experiment is registered by the configuration of the particles of the experimental apparatus after the experiment is completed. The familiar wavefunction collapse of standard quantum mechanics emerges from an analysis of subsystems and the quantum equilibrium hypothesis.

The theory has a number of equivalent mathematical formulations and has been presented under a number of different names. The de Broglie wave has also analogy in the macroscopical Faraday wave.[1]


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