Optimized basis expansion as an extremely accurate technique for solving time-independent Schr\"odinger equation
Mathematical Physics
2013-09-24 v6 General Relativity and Quantum Cosmology
math.MP
Computational Physics
Quantum Physics
Abstract
We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions.
Cite
@article{arxiv.math-ph/0611008,
title = {Optimized basis expansion as an extremely accurate technique for solving time-independent Schr\"odinger equation},
author = {P. Pedram and M. Mirzaei and S. S. Gousheh},
journal= {arXiv preprint arXiv:math-ph/0611008},
year = {2013}
}
Comments
11 pages, 4 figures