A Selective Relaxation Method for Numerical Solution of Schr\"odinger Problems
量子物理
2009-10-28 v1 comp-gas
凝聚态物理
高能物理 - 格点
元胞自动机与格子气
摘要
We propose a numerical method for evaluating eigenvalues and eigenfunctions of Schr\"odinger operators with general confining potentials. The method is selective in the sense that only the eigenvalue closest to a chosen input energy is found through an absolutely-stable relaxation algorithm which has rate of convergence infinite. In the case of bistable potentials the method allows one to evaluate the fundamental energy splitting for a wide range of tunneling rates.
引用
@article{arxiv.quant-ph/9505005,
title = {A Selective Relaxation Method for Numerical Solution of Schr\"odinger Problems},
author = {Carlo Presilla and Ubaldo Tambini},
journal= {arXiv preprint arXiv:quant-ph/9505005},
year = {2009}
}
备注
4 pages with figures, uuencoded Z-compressed ps file