Divergence-free WKB method
凝聚态物理
2007-05-23 v1
摘要
A new semiclassical approach to linear (L) and nonlinear (NL) one-dimensional Schr\"odinger equation (SE) is presented. Unlike the usual WKB solution, our solution does not diverge at the classical turning point. For LSE, our zeroth-order solution, when expanded in powers of \hbar, agrees with the usual WKB solution. For NLSE, our zeroth-order solution includes quantum corrections to the Thomas-Fermi solution, thereby giving a smoothly decaying wave function into the forbidden region.
引用
@article{arxiv.cond-mat/0011374,
title = {Divergence-free WKB method},
author = {Tadanori Hyouguchi and Satoshi Adachi and Masahito Ueda},
journal= {arXiv preprint arXiv:cond-mat/0011374},
year = {2007}
}
备注
7pages 5figures revtex