Hossein Parsian  , Reza Sabzpoushan  , 
    Symmetric Extended Wavelets and One Dimension Schrodinger Equation,
    Asian Journal of Information Technology,
    Volume 6,Issue 9,
    2007,
    Pages 970-973,
    ISSN 1682-3915,
    ajit.2007.970.973,
    (https://makhillpublications.co/view-article.php?doi=ajit.2007.970.973)
    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) = 1/2kx<SUP>n</SUP>, -  < 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.
    Keywords: Schrodinger equation;wavelets;operational method;one dimension;symmetric extended