Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471426 | Computers & Mathematics with Applications | 2016 | 10 Pages |
Abstract
A new local boundary condition is designed for the two dimensional Schrödinger equation under polar coordinates. Based on an approximate linear relation among the kernel functions for a free one-dimensional Schrödinger equation of a new variable, it takes a simple form of ordinary differential equation that relates the neighboring grid points. Numerical tests and comparisons demonstrate the effectiveness of the proposed boundary treatment.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Lei Bian, Songsong Ji, Gang Pang, Shaoqiang Tang,