## A method for studying model hamiltonians: a minimax principle for problems in statistical physics |

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### Contents

Remarks an QuasiAverages | 16 |

PROOF OF THE ASYMPTOTIC RELATIONS FOR | 25 |

Equations of Motion and Auxiliary Operator Inequalities | 33 |

Copyright | |

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absolute minimum arbitrary asymptotic relations asymptotic smallness asymptotically exact basis Bogolyubov bounded function calculation Chapter complex conditions of Theorem Consequently conservation laws consider const constant continuous functions continuous partial derivatives convergence correlation functions corresponding Curie point defined degeneracy denote equal expression Fermi amplitudes Fermi operators ferromagnet finite fixed formulate four-fermion interaction free energy constructed fulfilled functions Aa Green's functions infinitesimal integral interval limit lim measure zero minimax principle model Hamiltonian model systems non-zero number of terms obtain parameters perturbation theory points possess continuous partial proof proved quadratic form quantities quasi-averages quasi-discrete right-hand side satisfy selection rules solution statistical equilibrium Statistical Mechanics statistical physics summation systems with positive temperature tends to zero Theorem 3.1 Theorem 3.III theory tions tonian trial Hamiltonian uniformly with respect upper bounds usual averages valid values variables virtue whole space write