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Quantum Bäcklund transformation for the integrable DST model
For the integrable case of the discrete self-trapping (DST) model we construct a Bäcklund transformation. The dual Lax matrix and the corresponding dual Bäcklund transformation are also found and studied. The quantum analogue of the Bäcklund transformation (Q -operator) is constructed as the trace of a monodromy matrix with an …