## The quantum mechanics of many-body systems |

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### Contents

n SOLUBLE MODELS | 7 |

IU VARIATIONAL METHODS | 26 |

PERTURBATION THEORY | 55 |

Copyright | |

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angular momentum annihilation operators approximation atoms bosons Brueckner theory calculate Chapter collective variables commutation configuration contribution coordinates creation and annihilation defined by Eq density matrix diagonal discussed effect eigenstates eigenvalues electrons energy levels equal equilibrium excited expansion expectation value expression external line factor Fermi energy Fermi surface fermion lines fermions finite temperatures given by Eq gives Green function ground state energy Hamiltonian Hartree-Fock Hartree-Fock equations imaginary impurity integral interaction kinetic energy linear linked graphs liquid He3 liquid helium many-body matrix elements metal method neutrons noninteracting nuclear matter nucleons nucleus number of particles obtained one-particle Green function orthogonal oscillations perturbation theory phonons Phys physical plane waves potential energy problem properties proportional protons quantization quantum mechanics quasiparticle real axis region relation scattering self-consistent shell model shown in Fig single-particle solution spherical spin superconductivity superfluid symmetric theorem time-ordered product two-particle unperturbed velocity vertex wave function