A new uncertainty Relation (revised version)

Abstract

We formulate according to the quantum mechanical uncertainty relation a new quantum electrodynamical uncertainty relation $Δ\breve{A} . Δl \sim \hbar/e$ where $\breve{A}$ and $Δl \geq l_B$ are the electromagnetic pure gauge potential, the position uncertainty and the magnetic length, respectively. Then, we show that the observed potential drops on the edge of QHE samples are varifications of this uncertainty relation, where the quantum potential drop of the relevant component of potential can be considered as its quantum uncertainty $Δ\breve{A}$.