## Creation and annihilation operators |

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### Contents

Chapter Page | 1 |

Chapter Page | 27 |

A secondquantized formulation of RussellSaunders | 51 |

Copyright | |

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### Common terms and phrases

adjoint annihilation operators anticommutation anticommutation relations atom becomes Brillouin zone calculate chronological product coefficients commutation relations commutation rules conjugate continuous system corresponding creates an electron creation and annihilation creation operator crystal field defined diagonal Dirac equation doubly excited eigenfunction of H eigenfunctions electron creation example Feynman diagrams follows ground Hartree-Fock Hartree-Fock equations iH0t interaction irreducible representation Kramers pair creation Lagrangian density let us consider Many-Body matrix element multiplet N{UVW normal coordinates normal modes obey obtain one-electron operator orthonormality p-shell pair creation pair creation operator perturbation theory photon polarization Problem projection operators quantum mechanical random phase approximation relativistic represents secular equations Show shown in Fig Similarly simple harmonic oscillator Slater determinant Slater-Condon rules Solution spin quantum spin quantum numbers spin-down spin-orbit coupling spin-up Substituting Suppose symmetry terms of creation transformation values variational principle wave equation wave function wave number Wick's theorem written