Quantum effective potential, electron transport and conformons in biopolymers

Details Quantum effective potential, electron transport and conformons in biopolymers Quantum effective potential, electron transport and conformons in biopolymers

2005-05-29

arxiv.org/abs/math-ph/0505076v1

Physics

Mathematical Physics

to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/38/27/002

In the Kirchhoff model of a biopolymer, conformation dynamics can be described in terms of solitary waves, for certain special cross-section asymmetries. Applying this to the problem of electron transport, we show that the quantum effective potential arising due to the bends and twists of the polymer enables us to formalize and quantify the concept of a {\it conformon} that has been hypothesized in biology. Its connection to the soliton solution of the cubic nonlinear Schr\"{o}dinger equation emerges in a natural fashion.

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