Measuring Both Series and Parallel Impedances in the Quantum Hall Effect

The concept of impedance matching got lost in quantum mechanics. The quantized near-field interaction impedances of both photon and electron are not to be found in the physicists' curriculum, text books, or journals. What governs amplitude and phase of energy transmission in the fundamental photon-electron interaction of QED got lost in physics. There are two possibilities for quantum matching in the quantum Hall effect, either magnetic or electric coupling. The measured quantum Hall impedance is that of the ∼25812 ohm series configuration, the sum of magnetic and electric impedances, a factor of 1/2α larger than the ∼377 ohm photon far-field impedance. There exists the possibility that one might measure a quantum Hall impedance 1/2α smaller than the 377 ohm photon far-field impedance, measure the ∼5.498 ohm impedance of the parallel configuration, a range of interest in coupling condensed matter to electromechanical transducers, as for instance transistors to loudspeakers. One might also consider extending this approach to the fractional QHE.

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