1 4 Ja n 19 97 A New Uncertainty Relation
نویسنده
چکیده
We formulate according to the quantum mechanical uncertainty relation a new uncertainty relation ∆ ˘ A · ∆l ∼ ¯ h e where ˘ A and ∆l ≥ 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 ∆ ˘ A.
منابع مشابه
ua nt - p h / 97 02 05 4 v 1 2 6 Fe b 19 97 Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential
The canonical quantization of flux is performed. It is shown that according to the canonical flux quantization there must be a new uncertainty relation: e∆A m .∆x m ≥ ¯ h where A m and ∆x m ≥ l B are the electromagnetic gauge potential, the position uncertainty and the magnetic length, respectively. Other arguments in favour of this uncertainty relation are also discussed.
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