Study of anharmonic singular potentials
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a Hamiltonian H with singular potentials. Closed-form analytic expressions in N dimensions are obtained for the matrix elements of H with respect to the eigenfunctions of a soluble singular problem with two free parameters A and B. The matrix eigenvalues are then optimized with respect to A and B for a given N. Applications, convergence rates, and comparisons with earlier work are discussed in detail.
Cite
@article{arxiv.math-ph/0410039,
title = {Study of anharmonic singular potentials},
author = {Nasser Saad and Richard L. Hall and Qutaibeh D. Katatbeh},
journal= {arXiv preprint arXiv:math-ph/0410039},
year = {2009}
}
Comments
25 pages