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Zymandia
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It seems to me that the Ginzburg-Landau equations are derived from considering the particle of superconduction to be behaving in a superfluid way. This required the particle of superconduction to be a boson so that B-E statistics might apply. The use of Bose's presumptions surely tell us that the superconducting particle is an indistinguishable boson and hence can have no structure, certainly not fermionic. The use of two electrons' charge and mass in the Ginzburg-Landau equations requires that the observables of two electrons are in the bosonic wave-function, and hence have no separate existence as fermions. On another thread I notice that Landau was most unhappy that BCS did not provide the creation and annihilation operator required by B-E.
I think it may be instructive to consider the implication that a super-conducting Thingy is created from two electrons. This Thingy is a bosonic wave-function, which annihilates/decays back into two electrons. This has R(360) symmetry, whereas the electrons remaining fermions in the Cooper Pair requires R(720) symmetry.
There seems surely to be a basic conflict between Ginzburg-Landau and perturbative electron coupling theories?
I think it may be instructive to consider the implication that a super-conducting Thingy is created from two electrons. This Thingy is a bosonic wave-function, which annihilates/decays back into two electrons. This has R(360) symmetry, whereas the electrons remaining fermions in the Cooper Pair requires R(720) symmetry.
There seems surely to be a basic conflict between Ginzburg-Landau and perturbative electron coupling theories?