Title :
An efficient numerical spectral method for solving the Schrodinger equation
Abstract :
Spectral expansions of a smooth function converge rapidly and are suited for accurate solutions of differential or integral equations. Based on such expansions, the authors have developed a numerical algorithm for solving the Schrodinger equation.
Keywords :
Schrodinger equation; differential equations; integral equations; numerical analysis; smoothing methods; spectral analysis; Schrodinger equation; differential equation; integral equation; numerical algorithm; numerical spectral method; smooth function; spectral expansion; Chebyshev approximation; Convergence; Difference equations; Differential equations; Finite difference methods; Integral equations; Polynomials; Schrodinger equation; Wave functions; numerical spectral methods; shroedinger; spectral expansion;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2005.111
