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- Title
On the Pseudo-Schrödinger Equation Approximation of the Transfer-Integral Operator for 1-Dimensional Dna Models.
- Authors
Joyeux, Marc
- 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.
- Subjects
DNA denaturation; STATISTICAL physics; NUCLEOTIDE sequence; DNA; POTENTIAL well; SCHRODINGER equation
- Publication
Journal of Nonlinear Mathematical Physics, 2011, Vol 18, p339
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1142/S1402925111001568