How Distorting the Trajectories of Quantum Particles Shapes the Statistical Properties of their Ensemble

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Abstract

We present universal statistical relations between the center of mass of a quantum ensemble and its sub-ensembles when the Bohmian trajectories of the particles are distorted. These relations break the additivity property of the expectation into subadditivity of the distorted expectation, which obtains an evident difference between the various ways to infer quantum expectations. The results do not depend on the form of the Hamiltonian, and do not have a classical parallel. While an experimentalist can arrange the distortion of the trajectories to produce the proposed relations, such distortion may naturally appear in standard experimental setups.

Original languageEnglish
Article number110
JournalInternational Journal of Theoretical Physics
Volume62
Issue number6
DOIs
StatePublished - 1 Jun 2023

Keywords

  • Bohmian mechanics
  • Quantum foundations
  • Quantum trajectories
  • Subadditive measures

ASJC Scopus subject areas

  • General Mathematics
  • Physics and Astronomy (miscellaneous)

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