Perturbation method with triangular propagators and anharmonicities of intermediate strength
量子物理
2007-05-23 v1
摘要
I propose a new version of the Rayleigh - Schr\"{o}dinger perturbation method. It admits a lower triangular matrix in place of the usual diagonal propagator. Illustrated on rational anharmonicities polynomial}(x)/polynomial}(x), treated as perturbations of (quasi-)exact anharmonic oscilators. In this sense the method works in an intermediate-coupling regime and bridges the gap between the weak- and strong-coupling expansions.
引用
@article{arxiv.quant-ph/9910114,
title = {Perturbation method with triangular propagators and anharmonicities of intermediate strength},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/9910114},
year = {2007}
}
备注
37 pages (Latex file, incl. 6 tables) plus 6 ps file figures, to be submitted to J. Math. Chem