一维量子势的通用递推解:应用物理中的简便工具
量子物理
2007-05-23 v2
摘要
本文修订了 S.A. Shakir [Am. J. Phys. \textbf{52}, 845 (1984)] 提出的用于求解薛定谔方程束缚本征值的递推方法。方程被进一步简化并推广至计算任意给定一维势的波函数,如文中数个示例所示,其提供了不仅对束缚态亦对散射态与共振态均准确的解。
引用
@article{arxiv.quant-ph/0605115,
title = {General recursive solution for one dimensional quantum potentials: a simple tool for applied physics},
author = {Sérgio L. Morelhão and André V. Perrotta},
journal= {arXiv preprint arXiv:quant-ph/0605115},
year = {2007}
}
备注
Final version to appear in the Brazilian Magazine of Physics Teaching (http://www.sbfisica.org.br/noticias/publicacoes.shtml)