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

Abstract:
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.