The London equations, developed by brothers Fritz and Heinz London in 1935,[1] are constitutive relations for a superconductor relating its superconducting current to electromagnetic fields in and around it. Whereas Ohm's law is the simplest constitutive relation for an ordinary conductor, the London equations are the simplest meaningful description of superconducting phenomena, and form the genesis of almost any modern introductory text on the subject.[2][3][4] A major triumph of the equations is their ability to explain the Meissner effect,[5] wherein a material exponentially expels all internal magnetic fields as it crosses the superconducting threshold.
^London, F.; London, H. (1935). "The Electromagnetic Equations of the Supraconductor". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 149 (866): 71. Bibcode:1935RSPSA.149...71L. doi:10.1098/rspa.1935.0048.
^
Michael Tinkham (1996). Introduction to Superconductivity. McGraw-Hill. ISBN 0-07-064878-6.
^Neil Ashcroft; David Mermin (1976). Solid State Physics. Saunders College. p. 738. ISBN 0-03-083993-9.
^Charles Kittel (2005). Introduction to Solid State Physics (8th ed.). Wiley. ISBN 0-471-41526-X.
^Meissner, W.; R. Ochsenfeld (1933). "Ein neuer Effekt bei Eintritt der Supraleitfähigkeit". Naturwissenschaften. 21 (44): 787. Bibcode:1933NW.....21..787M. doi:10.1007/BF01504252. S2CID 37842752.
The Londonequations, developed by brothers Fritz and Heinz London in 1935, are constitutive relations for a superconductor relating its superconducting...
S2CID 37842752. London, F. & London, H. (1935). "The Electromagnetic Equations of the Supraconductor". Proceedings of the Royal Society of London A. 149 (866):...
This equation is the principle behind an electrical generator. By way of contrast, Gauss's law for electric fields, another of Maxwell's equations, is...
superconductors with the Londonequations and was nominated for the Nobel Prize in Chemistry on five separate occasions. London was born in Breslau, Germany...
law for electric fields in its integral form and it is one of Maxwell's equations. While the electric flux is not affected by charges that are not within...
where H is the magnetic field and λ is the London penetration depth. This equation, known as the Londonequation, predicts that the magnetic field in a superconductor...
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by Fritz and Heinz London in their Londonequations (1935). The London penetration depth results from considering the Londonequation and Ampère's circuital...
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{d} {\vec {\ell }}}=\phi ({\vec {b}})-\phi ({\vec {a}}).} From these equations, we see that the electric potential is constant in any region for which...
Molecular Theory of Superconductivity", where Fritz London proposed that the phenomenological Londonequations may be consequences of the coherence of a quantum...
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problems have fewer equations than unknowns and involve finding integers that solve simultaneously all equations. As such systems of equations define algebraic...