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Bohmian Mechanics

Detlef Duerr, Sheldon Goldstein, Roderich Tumulka, Nino Zanghi

arXiv:0903.2601v1quant-ph

TL;DR

Orthodox quantum theory’s measurement problem leaves the definite pointer outcome unrepresented in the final wave function. This paper presents Bohmian mechanics, a deterministic theory of particle trajectories that resolves the problem and reproduces quantum-mechanical experimental predictions.

  • Problem

    In orthodox quantum theory, the final wave function does not represent the definite pointer outcome of a measurement, leaving the measurement problem.

    Source: p. 6
  • Method

    Bohmian mechanics models a non-relativistic system as point particles moving along trajectories determined by equations from the initial particle configuration and wave function.

    Source: pp. 2–3
  • Results

    Bohmian mechanics provides a consistent resolution of quantum-mechanical paradoxes, including the measurement problem, and derives wave-function collapse.

    Source: p. 2
  • Takeaways & Limitations

    For every unambiguous quantum-mechanical experimental prediction, Bohmian mechanics makes the same prediction, so the theories cannot be tested against each other.

    Source: p. 5

    Non-relativistic Bohmian mechanics does not account for particle creation and annihilation and is incompatible with special relativity.

    Source: p. 8

Abstract

from arXiv · show

Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics for experimental results as predicted by quantum mechanics. Bohmian mechanics thus provides an explanation of quantum mechanics. Moreover, the Bohmian trajectories are defined in a non-conspiratorial way by a few simple laws.

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