Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Pseudo-Schr\"odinger Equation approximation of the
  Transfer-Integral operator for 1-dimensional DNA models   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-Schr\"odinger 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.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex