## Quantum Mechanics: Special ChaptersQuantum Mechanics -- Special Chapters is an important additional course for third-year students. Starting with the quantization of a free electromagnetic field and its interaction with matter, it discusses second quantization and interacting quantum fields. After re-normalization problems and a general treatment of nonrelativistic quantum field theory, these methods are applied to problems from solid-state physics and plasma physics: quantum gas, superfluidity, plasmons, and photons. The book concludes with an introduction to quantum statistics, the structure of atoms and molecules, and the Schrödinger wave equation formulated by Feynman path integrals. 72 fully and carefully worked examples and problems consolidate the material. |

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### Contents

II | 1 |

III | 3 |

IV | 5 |

V | 12 |

VI | 16 |

VII | 29 |

VIII | 31 |

IX | 33 |

XXXVII | 246 |

XXXVIII | 255 |

XL | 256 |

XLI | 272 |

XLII | 276 |

XLIII | 278 |

XLIV | 285 |

XLVI | 292 |

X | 35 |

XI | 48 |

XII | 55 |

XIII | 57 |

XIV | 63 |

XV | 74 |

XVI | 81 |

XVII | 98 |

XVIII | 99 |

XIX | 109 |

XX | 133 |

XXII | 143 |

XXIII | 149 |

XXIV | 156 |

XXV | 161 |

XXVI | 165 |

XXVII | 174 |

XXVIII | 193 |

XXIX | 194 |

XXX | 205 |

XXXI | 213 |

XXXIII | 218 |

XXXIV | 223 |

XXXV | 226 |

XXXVI | 241 |

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### Common terms and phrases

amplitude angle angular momentum annihilation operators approximation average becomes bosons calculate Casimir effect classical commutation relations consider constant contribution Cooper pair corresponding Coulomb deduce denote density operator derive described determined eigenstates eigenvalue electromagnetic field electron emission ensemble entropy equations of motion example excitations Exercise expectation value expression factor Fermi fermions field operators follows frequency function given Greiner Hamiltonian Hartree-Fock Heidelberg 1994 Hence hydrogen atom Inserting interaction kinetic energy leads magnetic field many-particle system matrix element molecule momenta nuclei obtain one-particle orbit particle number path integral Pauli phase photon Phys physics plasma polarization positive possible probability probability amplitude Problem quantum electrodynamics quantum mechanics quantum numbers quasiparticle radiation field represents respect result scattering Schrodinger equation second quantization shell Solution spherical spin Springer statistics summation superfluid term tion transformation transition vanishes vector potential velocity volume wave wavefunction yields zero