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London equations : ウィキペディア英語版
London equations

The London equations, developed by brothers Fritz and Heinz London in 1935,〔

relate current to electromagnetic fields in and around a superconductor. Arguably the simplest meaningful description of superconducting phenomena, they form the genesis of almost any modern introductory text on the subject.〔

A major triumph of the equations is their ability to explain the Meissner effect,〔

wherein a material exponentially expels all internal magnetic fields as it crosses the superconducting threshold.
==Formulations==

There are two London equations when expressed in terms of measurable fields:
:\frac = \frac\mathbf, \qquad \mathbf\times\mathbf_s =-\frac\mathbf.
Here _s =-\frac\mathbf.
The last equation suffers from only the disadvantage that it is not gauge invariant, but is true only in the Coulomb gauge, where the divergence of A is zero.〔
〕 This equation holds for magnetic fields that vary slowly in space.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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