On perturbation theory for the Sturm-Liouville problem, Part II
General Physics
2018-05-31 v5
Abstract
I study some possibilities of analytically solving a particular Sturm-Liouville problem with step-wise (piece-constant) coefficients with help of an iterative procedure mentioned in my previous paper (Green's function sum rules). I construct short, simple, but very accurate analytical formulae for calculating the ground state eigenvalue and eigenfunction as well as for calculating the first eigenfunction. I study numerical precision of the obtained approximations together with the perturbation theory results.
Keywords
Cite
@article{arxiv.1805.03021,
title = {On perturbation theory for the Sturm-Liouville problem, Part II},
author = {Vladimir Kalitvianski},
journal= {arXiv preprint arXiv:1805.03021},
year = {2018}
}
Comments
Original study, 40 pages, 59 figures, text slightly improved