A note on the formation of polaron states in a homogeneous chain
Lakhno V.D., Fialko N.S.
Institute of Mathematical Problems of Biology RAS - the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Russia
Abstract. Today in many articles charge propagation in biopolymers, for example, in DNA, have been modeled with different variants of boundary conditions – free ends or ring. It is assumed that for long chains, the ends practically do not affect the charge dynamics, and this is true in most cases. In this note, we discuss the case when these boundary conditions lead to significantly different results.
Key words: Holstein polaron, chain with free ends, periodic boundary conditions.