Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential

Details Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential

1997-02-26

arxiv.org/abs/quant-ph/9702054v1

Physics

Quantum Physics

Latex, 6 pages

Scientific paper

The canonical quantization of flux is performed. It is shown that according to the canonical flux quantization there must be a new uncertainty relation: $e \Delta A_m . \Delta x_m \geq \hbar$ where $A_m$ and $\Delta x_m \geq l_B$ 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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