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

页码：172 / 179

页数：8

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