Continuum Model of the One-Dimensional Holstein Bipolaron in DNA
Kashirina N.I., Lakhno V.D.
V.E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukrain, 45, Prospect of Science, 03028, Kiev, Ukraine
Institute of Mathematical Problems of Biology, Russian academy of sciences, 4, Institutskaja str., 142290, Pushchino, Moscow Region, Russia
kashirina@mail.ru
lak@impb.psn.ru
Abstract.The work is devoted to obtaining the 1D bipolaron functional by Holstein method for the continuum approximation. We analyzed the effect of electron correlations associated with the direct dependence of the wave function of the electron system from the electron-electron distance on the binding energy of the bipolaron. Numerical calculations of the bipolaron binding energy were performed according to the parameters of the system.
Key words: electron-phonon interaction, polaron Holstein, bipolaron.