Phase velocity electric current

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SUMMARY

The discussion centers on the relationship between phase velocity, electric current, and quantum mechanics, specifically referencing the de Broglie hypothesis. It establishes that phase velocity (Vp) is defined as Vp = w/k = E/p, where w is angular frequency, k is wave number, E is energy, and p is momentum. The conversation also highlights the connection between voltage, potential energy, and frequency, suggesting that voltage is related to the wave number and magnetic vector potential 'A'.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the de Broglie hypothesis
  • Knowledge of wave-particle duality
  • Basic concepts of electric current and voltage
NEXT STEPS
  • Research the de Broglie hypothesis in detail
  • Explore the relationship between voltage and frequency in electrical systems
  • Study the implications of wave number in quantum mechanics
  • Learn about the magnetic vector potential 'A' and its applications
USEFUL FOR

Physicists, electrical engineers, and students of quantum mechanics seeking to understand the interplay between wave properties and electric phenomena.

mela1
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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/wavelength) ?
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'.
 

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