1 Department of Informatics and Mathematical Modeling, Technical University of Denmark2 Applied functional analysis, Department of Mathematics, Technical University of Denmark3 Department of Mathematics, Technical University of Denmark4 Technical University of Denmark5 Department of Applied Mathematics and Computer Science, Technical University of Denmark
As a possible mechanism for energy storage and transport in proteins, Davydov has proposed soliton formation and propagation. In this paper we investigate the stability of Davydov solitons at biological temperatures. From Davydov’s original theory evolution equations are derived quantum mechanically without approximations, and their numerical solutions at different temperatures are presented. Our conclusion is that the Davydov soliton is stable at 310 K.
Physical Review a (atomic, Molecular and Optical Physics), 1988, Vol 37, Issue 3, p. 880-887