Variational Estimates using a Discrete Variable Representation
Abstract
The advantage of using a Discrete Variable Representation (DVR) is that the Hamiltonian of two interacting particles can be constructed in a very simple form. However the DVR Hamiltonian is approximate and, as a consequence, the results cannot be considered as variational ones. We will show that the variational character of the results can be restored by performing a reduced number of integrals. In practice, for a variational description of the lowest n bound states only n(n+1)/2 integrals are necessary whereas D(D+1)/2 integrals are enough for the scattering states (D is the dimension of the S matrix). Applications of the method to the study of dimers of He, Ne and Ar, for both bound and scattering states, are presented.
Cite
@article{arxiv.physics/0403071,
title = {Variational Estimates using a Discrete Variable Representation},
author = {M. Lombardi and P. Barletta and A. Kievsky},
journal= {arXiv preprint arXiv:physics/0403071},
year = {2016}
}
Comments
30 pages, 7 figures. Minor changes (title modified, typos corrected, 1 reference added). To be published in PRA