What Functions Transform Potentials Between Coulomb and Lorentz Gauges?

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SUMMARY

The discussion focuses on the transformation of potentials between the Coulomb gauge and the Lorentz gauge in electromagnetic theory. Specifically, it addresses the functions S and W that convert potentials A1 and V1 (Coulomb gauge) to A2 and V2 (Lorentz gauge), and vice versa. Participants are encouraged to derive the relationships between these potentials by considering the properties and conditions of each gauge. Understanding these transformations is crucial for analyzing electromagnetic fields in different gauge conditions.

PREREQUISITES
  • Understanding of electromagnetic potentials and fields
  • Familiarity with gauge theories in physics
  • Knowledge of the Coulomb gauge and Lorentz gauge
  • Basic mathematical skills for manipulating functions and equations
NEXT STEPS
  • Research the mathematical properties of gauge transformations in electromagnetism
  • Study the implications of the Coulomb gauge on electric and magnetic fields
  • Explore the Lorentz gauge condition and its applications in field theory
  • Learn about the role of gauge functions in quantum electrodynamics
USEFUL FOR

This discussion is beneficial for physicists, students of electromagnetism, and researchers interested in gauge theories and their applications in theoretical physics.

kineshma
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Suppose A1 and V1 satisfy the coulomb gauge and A2 and V2 satisfy the lorentz gauge. what function S will transform A1 and V1 to A2 and V2?
What function W will transform A2 and V2 to A1 and V1?l
 
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Hi kineshima,

Welcome to Physics Forums. I won't just give away the answer, but I will suggest a place to start. You might start by trying to write down the relationship between potentials in two different gauges. Using the properties of each gauge, what sort of conditions must your gauge function satisfy?
 

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