TY  - JOUR
T1  - Symmetric Extended Wavelets and One Dimension Schrodinger Equation
AU - , Hossein Parsian AU - , Reza Sabzpoushan 
JO  - Asian Journal of Information Technology
VL  - 6
IS  - 9
SP  - 970
EP  - 973
PY  - 2007
DA  - 2001/08/19
SN  - 1682-3915
DO  - ajit.2007.970.973
UR  - https://makhillpublications.co/view-article.php?doi=ajit.2007.970.973
KW  - Schrodinger equation
KW  -wavelets
KW  -operational method
KW  -one dimension
KW  -symmetric extended
AB  - 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.
ER  -