Filter diagonalization of shell-model calculations

被引：17

作者：

Mizusaki, Takahiro ^{[1
]}

Kaneko, Kazunari ^{[2
]}

Honma, Michio ^{[3
]}

Sakurai, Tetsuya ^{[4
]}

机构：

[1] Senshu Univ, Inst Nat Sci, Tokyo 1018425, Japan

[2] Kyushu Sangyo Univ, Dept Phys, Fukuoka 8138503, Japan

[3] Univ Aizu, Ctr Math Sci, Aizu Wakamatsu, Fukushima 9658580, Japan

[4] Univ Tsukuba, Dept Comp Sci, Tsukuba, Ibaraki 3058573, Japan

来源：

PHYSICAL REVIEW C | 2010年 / 82卷 / 02期

关键词：

D O I：

10.1103/PhysRevC.82.024310

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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 the 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 M-scheme shell-model calculations we demonstrate that several inherent problems in the widely used Lanczos method can be removed or reduced.

引用

页数：10

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