Article ID Journal Published Year Pages File Type
471426 Computers & Mathematics with Applications 2016 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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