Numerical solutions of the time-dependent Schrodinger equation in two dimensions

被引：5

作者：

van Dijk, Wytse ^{[1
,2
]}

Vanderwoerd, Trevor ^{[1
]}

Prins, Sjirk-Jan ^{[1
]}

机构：

[1] Redeemer Univ Coll, Dept Phys, Ancaster, ON L9K 1J4, Canada

[2] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada

来源：

PHYSICAL REVIEW E | 2017年 / 95卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

PROPAGATION; SOLVERS; SCHEME;

D O I：

10.1103/PhysRevE.95.023310

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The generalized Crank-Nicolson method is employed to obtain numerical solutions of the two-dimensional time-dependent Schrodinger equation. An adapted alternating-direction implicit method is used, along with a high-order finite-difference scheme in space. Extra care has to be taken for the needed precision of the time development. The method permits a systematic study of the accuracy and efficiency in terms of powers of the spatial and temporal step sizes. To illustrate its utility the method is applied to several two-dimensional systems.

引用

页数：10

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