Solutions for One-Dimensional Time-Dependent Schrödinger Equations

• Published in: Information Computing and Applications pp. 371 - 378
• Main Authors: Jiang, Tongsong, Wang, Xiaolei, Zhang, Zhaozhong
• Format: Book Chapter
• Language: English
• Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012
• Series: Communications in Computer and Information Science
• Subjects: Method of particular solution(MPS); Radial Basis Function (RBF); Schrödinger equation

Based on the finite difference scheme in time, the method of particular solutions using the radial basis functions is proposed to solve one-dimensional time-dependent Schrödinger equations. Two numerical examples with good accuracy are given to validate the proposed method.