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note
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The basis described here ignores the possibility of the electron hopping against the field, while creating phonons (absorption is accounted for in this basis when jumping against the field, however). Basis states such as 12;012-or 12;021, have a larger energy, produce only a small correction of the resulting states, and are ignored here. These additional basis vectors can be straightforwardly included, although greatly increasing the relevant space and associated matrices. Their inclusion is more important in the case of strong tunneling and/or coupling constant.
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