Filter diagonalization of shell-model calculations
Nuclear Theory
2010-08-27 v1
Abstract
We present a method of filter diagonalization for shell-model calculations. This method is based on the Sakurai and Sugiura (SS) method, but extended with help of the shifted complex orthogonal conjugate gradient (COCG) method. A salient feature of this method is that it can calculate eigenvalues and eigenstates in a given energy interval. We show that this method can be an alternative to the Lanczos method for calculating ground and excited states, as well as spectral strength functions. With an application to the -scheme shell-model calculations we demonstrate that several inherent problems in the widely-used Lanczos method can be removed or reduced.
Cite
@article{arxiv.1008.0434,
title = {Filter diagonalization of shell-model calculations},
author = {Takahiro Mizusaki and Kazunari Kaneko and Michio Honma and Tetsuya Sakurai},
journal= {arXiv preprint arXiv:1008.0434},
year = {2010}
}
Comments
10 pages, 8 figures, accepted in Phys. Rev. C