A Unitary Principle of Optics, Catoptrics, and Dioptrics by Leibniz Gottfried Wilhelm

By Leibniz Gottfried Wilhelm

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Superconductivity was observed in germanium telluride (Hein et al, 1964) and in reduced strontium titanate (SrTi0 3 ) (Schooley, Hosier and Cohen, 1964). 28°K) was found to be a function of the carrier concentration. An extreme example of a type II superconductor, SrTi0 3 , behaves in agreement with theoretical predictions. 32 CHAPTER I Theory of the ground state § ί The generalized Bogoliubov transformation and the principle of compensation of "dangerous" diagrams In the early stage of the development of many-body theory, we used to reduce it to a single-particle theory.

33, 34) we obtain the solution ΡίηΛ 1 ίΐ ζ 'Μ-τγ—οζρ))· Q{p) = ^ \ \^\p)+C2{p). 37a) 43 Superconductivity Another "trivial" solution has the form |1 for p pF. 3) with coefficients ufv = u(p)ô (f-v), vfv = v (/) ô (f-v), HPT+V(P)2 = 1, v(p, + ) = v(p) = -v(p, ~). 40) αρσ = u(p)ocpa+v(p, σ)αΐρ,_σ, (see also Valatin, 1958) and the compensation equation now has the form 0 = R-p,-a:P,a = 0. 1) is not diagonal. 42) appears in the Hamiltonian. ff where A(q) is a Fourier component of A(r).

37a) 43 Superconductivity Another "trivial" solution has the form |1 for p pF. 3) with coefficients ufv = u(p)ô (f-v), vfv = v (/) ô (f-v), HPT+V(P)2 = 1, v(p, + ) = v(p) = -v(p, ~). 40) αρσ = u(p)ocpa+v(p, σ)αΐρ,_σ, (see also Valatin, 1958) and the compensation equation now has the form 0 = R-p,-a:P,a = 0. 1) is not diagonal. 42) appears in the Hamiltonian. ff where A(q) is a Fourier component of A(r). 40) we obtain the additional term Y\ (q-2p)A(g)v(p9a)u(q-p)cip,_aciq-Pta.

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