London theory, Landau theory and Lorentz Einstein law

In summary, The London theory, Landau theory, and Lorentz Einstein law are all relevant to understanding superconductivity. The London approach uses the Lorentz Einstein law to describe the supercurrent as the gradient of the phase and the EM potential vector. The Landau theory examines how an external magnetic field affects the supercurrent, while the BCS theory is concerned with the formation of Cooper pairs. Additionally, the London theory can also account for the gyromagnetic effect. The Landau theory does not directly address the interaction of a gravitational field with the supercurrent, but it may be possible to formulate the question in the opposite way to understand this interaction.
  • #1
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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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  • #2


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?
 

1. What is the London theory?

The London theory, also known as the London dispersion force theory, is a quantum mechanical theory that explains the attractive forces between atoms or molecules. It is based on the idea that fluctuations in the electron distribution of one atom can induce a corresponding fluctuation in the electron distribution of a neighboring atom, resulting in an attractive force between the two.

2. What is Landau theory?

Landau theory, also known as Landau-Ginzburg theory, is a mathematical model used to describe phase transitions in physical systems. It was developed by Lev Landau in the 1930s and is based on the concept of order parameters, which are quantities that describe the degree of order or symmetry in a system.

3. What is the Lorentz Einstein law?

The Lorentz Einstein law, also known as the Lorentz force law, states that a charged particle will experience a force when moving through an electric or magnetic field. It was first formulated by Hendrik Lorentz in the late 19th century and later incorporated into Albert Einstein's theory of special relativity.

4. How are London theory and Landau theory related?

London theory and Landau theory are both important concepts in the field of condensed matter physics. While London theory explains the attractive forces between atoms, Landau theory is used to describe phase transitions in physical systems. Both theories are based on quantum mechanics and have been influential in understanding various phenomena in materials and other systems.

5. What is the significance of the Lorentz Einstein law?

The Lorentz Einstein law is one of the fundamental laws of electromagnetism and has significant implications in various fields such as particle physics, astrophysics, and engineering. It is also a key component of Einstein's theory of special relativity, which revolutionized our understanding of time, space, and gravity. The Lorentz Einstein law continues to be a crucial tool in modern physics research and technology development.

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