TY - JOUR

T1 - Trajectory interpretation of the uncertainty principle in 1D systems using complex Bohmian mechanics

AU - Yang, Ciann Dong

PY - 2008/10/6

Y1 - 2008/10/6

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physleta.2008.08.050

DO - 10.1016/j.physleta.2008.08.050

M3 - Article

AN - SCOPUS:51649091325

VL - 372

SP - 6240

EP - 6253

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 41

ER -