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.
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页数：10
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