Abstract
The characteristic function of a wormlike chain is expressed as a Feynman path integral, obtained via the white noise functional approach. In order to describe the model statistically, the following physical assumptions are considered: (i) the wormlike chain curve is analogous to a trajectory of a quantum particle, and (ii) the total length L of the Wormlike chain is regarded as “time” t. The mathematical treatment is then facilitated by modifying its "Lagrangian", given by Fizman and Kovac , wherein the resulting expression of the "Lagrangian" is just similar to the harmonic oscillator in an external elctric field. Then, the cosine of the angle between the field vector and the tangent vector is approximated. In order to evaluate the characteristic function in one dimension only, we let this angle be linearly dependent on the contour distance of the chain. The characteristic function is then evaluated via white noise analysis. The result, with the field set to zero, is then compared to a propagator of a harmonic oscillator in an inverse potential.
Recommended Citation
Casas, Karl Patrick S. and Bornales, Jinky B.
(2011)
"White Noise Path Integral
Evaluation of the Characteristic Function of a Modified Wormlike Chain,"
CNU Journal of Higher Education: Vol. 5:
Iss.
1, Article 12.
DOI: https://doi.org/10.70997/2546-1796.1082
Available at:
https://jhe.researchcommons.org/journal/vol5/iss1/12