This article is cited in 4 papers

Mathematical Modeling

Continuum Model of the One-Dimensional Holstein Bipolaron in DNA

N. I. Kashirina^a, V. D. Lakhno<sup>b

a</sup> V.E. Lashkaryov Institute of Semiconductor Physics National Academy of Sciences of Ukrain, 45, Prospect of Science, 03028, Kiev, Ukraine
^b Institute of Mathematical Problems of Biology, Russian academy of sciences, 4, Institutskaja str., 142290, Pushchino, Moscow Region, Russia

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.

UDC: 538.958, 538.956, 537.311.322, 538.915

Received 13.11.2014, Published 24.11.2014