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The number state method is used to calculate binding energies and effective masses from soliton bands for four quantum lattices: (i) the discrete nonlinear Schrödinger equation, (ii) the Ablowitz-Ladik equation (a q-boson model), (iii) a fermionic polaron model, and (iv) the Hubbard model. Results are expressed as functions of the number of freedoms and the ratio of anharmonicity to dispersion, and several physical interpretations are suggested.
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