Calculation of the eigenfunctions and eigenvalues of Schr\"odinger type equations by asymptotic Taylor expansion method (ATEM)
Mathematical Physics
2010-08-05 v1 math.MP
Quantum Physics
Abstract
A novel method is proposed to determine an analytical expression for eigenfunctions and numerical result for eigenvalues of the Schr\"odinger type equations, within the context of Taylor expansion of a function. Optimal truncation of the Taylor series gives a best possible analytical expression for eigenfunctions and numerical result for eigenvalues.
Keywords
Cite
@article{arxiv.1008.0697,
title = {Calculation of the eigenfunctions and eigenvalues of Schr\"odinger type equations by asymptotic Taylor expansion method (ATEM)},
author = {Ramazan Koc and Eser Olgar},
journal= {arXiv preprint arXiv:1008.0697},
year = {2010}
}