In a rather old paper, Jorge HIrsch discussed some inadequacies of London equations. He proposed a new set of equations based on Maxwell equations (see http://arxiv.org/pdf/cond-mat/0312619.pdf).
Then, recently I try to propose a modified version of Hirsch's model based on Proca equations. See the file enclosed here. What do you think?
Yes it is possible. Consult Chapter 13, Superconductivity, of the book Quantum Theory of Many-Particle Systems, by A.L. Fetter and J.D. Walecka (Dover, New York, 2003).
Dear Dr. Behnam Farid: ok thank you for the reference, i will find it. Best wishes
Dear Oliver Manuel: thanks for your reference, do you know his email?
PS: allow me to ask a completely different question which was asked by Stefano Quatrini: do you know what is mechanism of tidak locking of moon? As we know the moon always faces the earth at the same side, some people call it tidal locking. Perhaps you can explain it or give some references, i suppose it relates to classical mechanics. Thanks
I don't catch exactly what do you mean asking about electrodynamics beyond London equations. Is Pippard's non local electrodynamics beyond? The same question on Ginzburg-Landau theory. There are many types of superconductors, and everyone is described by own more or less rough electrodynamics. For example, Bean's critical state model describes high pinning superconductors rather as hyperconductor. You can find the advancement of the model in Cryogenics 2010 v.50, n5, pp359-365. Thanks.
Dear Prof. Klimenko: thank you for your suggestion, yes Pippard and BCS and Ginzburg-Landau also improved London equations. But this question asks if we can go back to London's original equations and work from there. You can read some of Hirsch's papers if you wish. Thanks
to that unrelated Moon question: I believe you need to consider the energy dissipation of non-rigid body (the Moon) rotating in the gravitational gradient of the Earth field. If the Moon is not locked, it rotates in the gradient, deforms, dissipates energy and slows down... until it locks. (but maybe there is some stronger effect that caused the tidal lock)
Dear Colleague,
the 2 herewith attached publications (skin.pdf, meissner.pdf) present a detailed account for the electrodynamics properties of superconductors, entirely based on Newton and Maxwell's equations. A critical review of London's phenomenological equation is given in meissner.pdf. Hopefully this will be helpful.
kind regards
jacob szeftel
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