Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schr\"odinger equation
Quantum Physics
2009-11-07 v1
Abstract
A variationally improved Sturmian approximation for solving time-independent Schr\"odinger equation is developed. This approximation is used to obtain the energy levels of a quartic anharmonic oscillator, a quartic potential, and a Gaussian potential. The results are compared with those of the perturbation theory, the WKB approximation, and the accurate numerical values.
Keywords
Cite
@article{arxiv.quant-ph/0105047,
title = {Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schr\"odinger equation},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:quant-ph/0105047},
year = {2009}
}
Comments
Accepted for publication in J. Math. Phys., 18 pages