Formation of stationary electronic states in finite homogeneous molecular chains

• Main Authors: Lakhno, V. D, Korshunova, A. N
• Format: Journal Article
• Language: English
• Published: 23-05-2013
• Subjects: Physics - Other Condensed Matter
• DOI: 10.48550/arxiv.1305.5732

Mathematical biology and bioinformatics, 5, 1-29 (2010) Evolution of an arbitrary initial distribution of a quantummechanical
particle in a uniform molecular chain is simulated by a system of coupled
quantumclassical dynamical equations with dissipation. Stability of a uniform
distribution of the particle over the chain is studied. An asymptotical
expression is obtained for the time in which a localized state is formed. The
validity of the expression is checked by direct computational experiments. It
is shown that the time of soliton and multisoliton type states formation
depends strongly on the initial phase of the particle's wave function. It is
shown that in multisoliton states objects with a fractional electron charge
which can be observed experimentally are realized. The results obtained are
applied to synthetic uniform polynucleotide molecular chains.