Theory of Superconductivity

amplitude Bardeen BCS theory calculations Chapter coherence factors contribution Coulomb interaction coupling d³p d³r defined density diamagnetic discussed eigenstates electromagnetic electron-phonon interaction energy gap energy-gap equation excitation energy excitation spectrum expression Fermi gas Fermi sea Fermi surface finds finite flux frequency gauge gauge-invariant given gives Go(p graphs Green's function half-plane Hamiltonian Hartree-Fock Hred integral ions jellium k₁ kernel lead London's long wavelength m₁ magnetic field many-body matrix elements Meissner effect momentum normal metal number of electrons number of particles obtain occupation number operator pairing approximation pairing theory paramagnetic Pauli principle phonon physical poles problem processes quantization quantum quasi-particle relation result satisfy screened self-energy shown in Figure single-particle spectral weight function spin super superconducting superfluid t₁ temperature tunneling vanishes vector vertex function wave function zero μν