Solutions for One-Dimensional Time-Dependent Schrödinger Equations

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.

Saved in:
Bibliographic Details
Published inInformation Computing and Applications pp. 371 - 378
Main Authors Jiang, Tongsong, Wang, Xiaolei, Zhang, Zhaozhong
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg 2012
SeriesCommunications in Computer and Information Science
Subjects
Method of particular solution(MPS)
Radial Basis Function (RBF)
Schrödinger equation
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:This work was supported by Natural Science Foundation of China (NO.10671086) and Natural Science Foundation of Shandong Province, China (NO. ZR2010AM014).
ISBN:9783642340406
3642340407
ISSN:1865-0929
1865-0937
DOI:10.1007/978-3-642-34041-3_53