Band structure of local pairs. Mathematical tools

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A system of strongly interacting fermions in a solid state is discussed. A structure of singlet and triplet coupled 2-particle states and their excitation spectra are investigated. It is shown that an account of intersite fermion interaction leads to new boson modes. A problem of interaction of pairs with external fields are discussed. The same analysis can be performed for another sorts of pairings like d-wave.
16 pages, 3figures

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