On the calculation of inner products of Schur functions

被引：1
|
作者：
Castilho Alcaras, J. A. [1 ]
Kota, V. K. B. [2 ]
机构：
[1] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
[2] Phys Res Lab, Ahmadabad 380009, Gujarat, India
来源：
BRAZILIAN JOURNAL OF PHYSICS | 2010年 / 40卷 / 02期
关键词：
Group theory; Group Representation theory; Symmetric group; STATISTICAL GROUP-THEORY; ANGULAR-MOMENTUM STATES; PLETHYSMS; CLASSIFICATION; MODEL;
D O I：
10.1590/S0103-97332010000200008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Two methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent analysis of the SO(8) proton-neutron pairing model of atomic nuclei. The two methods allow for generation of inner products for the Schur functions of degree up to 20 and even beyond.
引用
收藏
页码：172 / 179
页数：8
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