London theory, Landau theory and Lorentz Einstein law

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SUMMARY

This discussion focuses on the relationship between the Lorentz Einstein law and various theories of superconductivity, specifically the London theory, Landau theory, and BCS theory. The London approach is examined in terms of its supercurrent equation, js = ... ∂θ/∂r - A, where θ represents the phase and A denotes the electromagnetic potential vector. The conversation also explores the implications of the Landau theory regarding the interaction of supercurrents with external magnetic and gravitational fields, questioning whether these currents are sensitive to gravitational influences.

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  • Familiarity with London theory and its equations
  • Knowledge of Landau theory and its implications for magnetic fields
  • Basic grasp of BCS theory and its relevance to superconductivity
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  • Research the mathematical formulation of the London theory supercurrent equation
  • Study the effects of external magnetic fields on superconductors as described by Landau theory
  • Explore the BCS theory and its implications for superconductivity
  • Investigate the gravitational effects on supercurrents and their theoretical implications
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Physicists, materials scientists, and students studying superconductivity, particularly those interested in theoretical frameworks and their applications in understanding supercurrent behavior under various physical conditions.

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London theory, Landau theory... and Lorentz Einstein law

I am trying to learn all I can about superconductivity and discovered an interesting document in Internet. Does the Lorentz Einstein law hold true for the supercurrent :
1) of the London approach?
js = ... ∂θ/∂r - A where θ is the phase and A is the EM potential vector
2) of the Landau theory?
3)of the BCS theory?

One more question : does the London theory include the case of a rotating charge (gyromagnetic effect with A = ω x r)?
 
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Perhaps should I formulate my question in the opposite way.

The Landau theory studies in which way an exterior magnetic field interact with a supercurrent.

What does this theory actually say or propose concerning the interaction of the exterior gravitational field on the same supercurrent? Is that current gravitation-sensitive?
 

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