Symmetry in Nonlinear Mathematical Physics - 2009

Oksana Kuriksha and Alla Vorobyova (Petro Mohyla Black Sea State University, Mykolayiv, Ukraine)

Exact solutions for Fröhlich–Peierls Hamiltonian model via reduction method

Fröhlich–Peierls Hamiltonian model for electrons which interact with phonons only with some infinite discrete modes is studied using group-theoretical methods. Group analysis of this model in nonequilibrium state in one dimensional case is carried out and some exact solutions had been found.