Trajectory interpretation of the uncertainty principle in 1D systems using complex Bohmian mechanics

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Complex Bohmian mechanics is introduced to investigate the validity of a trajectory interpretation of the uncertainty principles Δ q Δ p ≥ ℏ / 2 and Δ E Δ t ≥ ℏ / 2 by replacing probability mean values with time-averaged mean values. It is found that the ℏ / 2 factor in the uncertainty relation Δ E Δ t ≥ ℏ / 2 stems from a quantum potential whose time-averaged mean value taken along any closed trajectory with a period T = 2 π / ω is proved to be an integer multiple of ℏ ω / 2 for one-dimensional systems.

Original languageEnglish
Pages (from-to)6240-6253
Number of pages14
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number41
DOIs
Publication statusPublished - 2008 Oct 6

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Trajectory interpretation of the uncertainty principle in 1D systems using complex Bohmian mechanics'. Together they form a unique fingerprint.

Cite this