## Quantum Theory of Many-particle Systems"Singlemindedly devoted to its job of educating potential many-particle theorists…deserves to become the standard text in the field." — EndeavorA self-contained, unified treatment of nonrelativistic many-particle systems, this text offers a solid introduction to procedures in a manner that enables students to adopt techniques for their own use. Its discussions of formalism and applications move easily between general theory and direct use by offering illustrations of principles to specific cases.Chapters on second quantization and statistical mechanics introduce students to ground-state (zero-temperature) formalism, which is explored by way of Green’s functions and field theory (fermions), Fermi systems, linear response and collective modes, and Bose systems. Finite-temperature formalism is examined through field theory at finite temperature, physical systems at finite temperature, and real-time Green’s functions and linear response. Additional topics cover canonical transformations and applications to physical systems in terms of nuclear matter, phonons and electrons, superconductivity, and superfluid helium as well as applications to finite systems. Graduate students will find this text enormously practical in making the transition from taking courses in quantum mechanics to interpreting the vast quantity of literature concerning the many-body problem. |

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### Contents

Introduction | 1 |

Second Quantization | 3 |

Statistical Mechanics | 33 |

Groundstate Zerotemperature Formalism | 51 |

Greens Functions and Field Theory Fermions | 53 |

Fermi Systems | 120 |

Linear Response and Collective Modes | 171 |

Bose Systems | 198 |

Realtime Greens Functions and Linear Response | 291 |

Canonical Transformations | 311 |

Canonical Transformations | 313 |

Applications to Physical Systems | 339 |

Nuclear Matter | 341 |

Phonons and Electrons | 389 |

Superconductivity | 413 |

Superfluid Helium | 479 |

Finitetemperature Formalism | 225 |

Field Theory at Finite Temperature | 227 |

Physical Systems at Finite Temperature | 255 |

Applications to Finite Systems The Atomic Nucleus | 503 |