Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 1997
- DOI:
- 10.48550/arXiv.quant-ph/9702054
- arXiv:
- arXiv:quant-ph/9702054
- Bibcode:
- 1997quant.ph..2054G
- Keywords:
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- Quantum Physics
- E-Print:
- Latex, 6 pages