Sinc-Integral method to solve the linear Schrodinger equation

Abstract

The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method. We show that our method is more accurate than Sinc-Collocation method. Some properties of the Sinc methods required for our subsequent development are given and utilized. Numerical examples are included to demonstrate the validity and applicability of the presented techniques.

Keywords

• linear schrodinger equation
• sinc-collocation method
• eigenvalue problem
• volterra integral equations
• fredholm integral equations