Phase velocity electric current

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In quantum mechanics, particles exhibit wave-like behavior characterized by complex phases, as described by the de Broglie hypothesis. The phase velocity of electric current is linked to the relationship between voltage, momentum, and wave number. Voltage, representing potential energy, correlates with frequency, while the wave number is associated with the magnetic vector potential. The discussion explores the connections between these concepts, emphasizing the interplay between electric current and phase velocity. Understanding these relationships can enhance insights into quantum mechanics and electromagnetic theory.
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In quantum mechanics, particles also behave as waves with complex phases. By the de Broglie hypothesis, we see that

Vp=w/k=E/p


Does have relation Volt with momentum or wavnumber(2Pi/wavelenght) ?
and current with phase velocity ?
 
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Voltage is Potential Energy so it is related to frequency. The corresponding wave-number is related to the magnetic vector potential 'A'.
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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