## Lectures on the Many Body Problem |

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### Contents

Introduction | 1 |

Canonical Transformation for the Fermi Gas | 23 |

General Perturbation Formalism for the ManyBody Problem | 31 |

Copyright | |

16 other sections not shown

### Common terms and phrases

approximation Bloch Bogoliubov bosons Brueckner calculation cluster expansion compound bubbles computed connected diagrams consider contribution convergence correct corresponding D-diagrams D-line defined derivation dielectric constant Dominicis equation excitation energies expression Fermi energy Fermi gas Fermi sphere Fermi surface fermions field theory finite formula given gives Goldstone expansion grand canonical ensemble graphs Green's function ground state energy Hamiltonian hole lines Hove incomplete chain integral interaction introduce ladder graphs ladders lectures limit linked cluster expansion many-body Many-Body Problem matrix elements method momenta momentum normal Nuclear Phys number of particles obtained occupation numbers operators order diagram pair perturbation expansion perturbation theory phonon pole power series problem propagator properties quantity quantum replaced representation represented result scattering self-consistent self-energy single particle singularities solution spin summation superconductivity theorem tonian Tr exp two-body unperturbed vanishing vector wave function zero temperature