On the Pseudo-Schrödinger Equation Approximation of the Transfer-Integral Operator for 1-Dimensional DNA Models

DOI

10.1142/S1402925111001568How to use a DOI?

Keywords

DNA denaturation; transfer-Integral operator; pseudo-Schrödinger equation

Abstract

The Transfer-Integral (TI) operator is a powerful method to investigate the statistical physics of 1-dimensional models, like those used to describe DNA denaturation. At the cost of a certain number of approximations, the TI equation can be reduced to a Pseudo–Schrödinger Equation (PSE), according to which the DNA sequence is equivalent to a point particle moving in a potential well. In this paper, I check the validity of the standard PSE approximation for two different 1-dimensional DNA models, and show that it fails to provide correct results for both of them. I then propose a generalized PSE, which works well for one of the two models. Finally, I discuss the particle description of DNA denaturation that is derived from this generalized PSE.

Copyright

© 2011 The Authors. Published by Atlantis Press and Taylor & Francis

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Marc Joyeux
PY  - 2021
DA  - 2021/01/07
TI  - On the Pseudo-Schrödinger Equation Approximation of the Transfer-Integral Operator for 1-Dimensional DNA Models
JO  - Journal of Nonlinear Mathematical Physics
SP  - 339
EP  - 357
VL  - 18
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001568
DO  - 10.1142/S1402925111001568
ID  - Joyeux2021
ER  -