Abstract
The system of Frenkel excitons interacting with phonons is treated in the Agranovich-Toshich bosonic representation of Pauli operators up to terms with four Bose operators, comprising both kinematic and dynamic interaction. Equations of motion are formulated for the two-particle soliton wavefunction and it is shown that they are completely identical with those obtained previously with the hamiltonian quadratic in Bose operators.
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