Phase velocity electric current

[mela1]

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/wavelength) ?
and current with phase velocity ?

 

[AJ Bentley]

Voltage is Potential Energy so it is related to frequency. The corresponding wave-number is related to the magnetic vector potential 'A'.