Asian Journal of Information Technology
ISSN: Online 1993-5994ISSN: Print 1682-3915
Abstract
In this research, we present a numerical solution for schrodinger equation. This method is based on generalized Legendre wavelets and generalized operational matrices. Generalized Legendre wavelets are a complete orthogonal set on the interval [-s, s] (s is a real large positive number.) The mother function of generalized Legendre wavelets are generalized legendre functions. Generalized Legendre functions are an orthogonal set on the interval [-s, s]. The schrodinger equation is equal to a variational problem and we convert the variational problem to a non linear algebraic equations. From the solving of algebraic equation to get the eigen-states of schrodinger equation. We applied this method to one dimension nonlinear oscillator (V(x) = 1/2kxn, - < x < ) and to get the eigen-states of oscillator for various n. For n = 2, the oscillator is linear and there is an exact solution for its. The results for n = 2 demonstrate the validity of this solution.
How to cite this article:
Hossein Parsian and Reza Sabzpoushan . Symmetric Extended Wavelets and One Dimension Schrodinger Equation.
DOI: https://doi.org/10.36478/ajit.2007.970.973
URL: https://www.makhillpublications.co/view-article/1682-3915/ajit.2007.970.973