## The Effect of Exchange and Correlation on Superconducting Transition Temperatures in an Electron Gas |

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### Contents

RANDOM PHASE APPROXIMATION | 5 |

EXCHANGE AND CORRELATION CORRECTIONS | 14 |

SUPERCONDUCTIVITY | 27 |

5 other sections not shown

### Common terms and phrases

anticommutation attractive region BCS approximation BCS theory binding energy bound pairs Brueckner charge density charge dielectric function charge screened Cooper pairs correction factor G(q corrections given correlation effects correlation energy correlation hole Coulomb interaction Coulomb kernel Coulomb potential Coulomb repulsion Debye energy density operator Devreese model dielectric function Eq effective electron-electron potential effective potential electron-electron dielectric function electron-phonon interaction equation of motion evaluated exchange and correlation exchange correction exchange effects exchange potential experimental values Fermi surface fermions frequency dependence function G(q,w function of frequency Gell-Mann given by Hubbard ground state energy Hamiltonian Hartree-Fock approximation homogeneous electron gas Hubbard and STLS include exchange include the effects interaction potential ionic mass ions jellium momenta momentum pair distribution function parameter Pauli exclusion principle perturbation phonon frequency Phys plasma frequency plotted in Figure reduced RPA dielectric function screened test charge simple metals Singwi superconducting transition temperature term test charge-test charge wave vector