English

Bohmian mechanics contradicts quantum mechanics

Quantum Physics 2007-05-23 v2

Abstract

It is shown that, for a harmonic oscillator in the ground state, Bohmian mechanics and quantum mechanics predict values of opposite sign for certain time correlations. The discrepancy can be explained by the fact that Bohmian mechanics has no natural way to accomodate the Heisenberg picture, since the local expectation values that define the beables of the theory depend on the Heisenberg time being used to define the operators. Relations to measurement are discussed, too, and shown to leave no loophole for claiming that Bohmian mechanics reproduces all predictions of quantum mechanics exactly.

Keywords

Cite

@article{arxiv.quant-ph/0001011,
  title  = {Bohmian mechanics contradicts quantum mechanics},
  author = {Arnold Neumaier},
  journal= {arXiv preprint arXiv:quant-ph/0001011},
  year   = {2007}
}

Comments

13 pages. The revised version strengthens the case made against the claim that Bohmian mechanics reproduces all predictions of quantum mechanics exactly

R2 v1 2026-07-22T19:26:54.850Z