## Green's functions and condensed matter |

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analytic atoms average band Boltzmann equation bosons calculated Chapter chemical potential contribution correlation function Coulomb interaction defined depends derived discussed effect electron-phonon electrons equation of motion expansion external field factor Fermi liquid Fermi surface fermions ferromagnetic finite Fourier transform free energy frequency G(co given by equation Hamiltonian Hartree—Fock Hence illustrated in Fig independent particles integral ions lattice linear macroscopic magnetic field matrix metals molecular field momentum neutron normal obtained occupation numbers one-particle Green's function operators order parameter oscillator pair perturbation theory phase phonon Phys poles problem properties quantum quasi-particles renormalized represent result satisfies scattering self-consistent self-energy shown in Fig single-particle Green's function solution spectral function spin superconductivity superfluid temperature Green's function tends to zero thermodynamic potential transition temperature two-particle unperturbed upper half-plane values vector vertex vertex functions vertices wave function wave vector yields