Kinematical and dynamic interactions do not change properties of two-particle solitons

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. © 1986.