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

共 46 条

[21] Calculation of moving Green functions for high-speed railway tracks
Sheng, X.
Xiao, X.
DYNAMICS OF VEHICLES ON ROADS AND TRACKS, 2016, : 1355 - 1366
[22] Quantitative Calculation of Hydration Products for Binary Slag-Portland Cement System
Jiang Jinyang
Sun Guowen
Sun Wei
JOURNAL OF WUHAN UNIVERSITY OF TECHNOLOGY-MATERIALS SCIENCE EDITION, 2014, 29 (05): : 972 - 979
[23] A review on fish growth calculation: multiple functions in fish production and their specific application
Lugert, Vincent
Thaller, Georg
Tetens, Jens
Schulz, Carsten
Krieter, Joachim
REVIEWS IN AQUACULTURE, 2016, 8 (01) : 30 - 42
[24] A priori mesh grading for the numerical calculation of the head-related transfer functions
Ziegelwanger, Harald
Kreuzer, Wolfgang
Majdak, Piotr
APPLIED ACOUSTICS, 2016, 114 : 99 - 110
[25] A New Approach to Determination of the Suction Ratio in Calculation of the Thickness Difference of Thermally Formed Products
Safonova V.D.
Sheryshev M.A.
Sheryshev A.E.
Polymer Science - Series D, 2019, 12 (01) : 91 - 95
[26] Calculation of excess functions and phase equilibria in binary and ternary mixtures with one associating component
Browarzik, D.
JOURNAL OF MOLECULAR LIQUIDS, 2009, 146 (03) : 95 - 104
[27] A New Approach for the Calculation of Slope Failure Probability with Fuzzy Limit-State Functions
Hao, Jianing
Yang, Dan
Ren, Guanxiong
Zhao, Ying
Cao, Rangling
FDMP-FLUID DYNAMICS & MATERIALS PROCESSING, 2025, 21 (01): : 141 - 159
[28] The effects of fermentation products of prebiotic fibres on gut barrier and immune functions in vitro
Pham, Van T.
Seifert, Nicole
Richard, Nathalie
Raederstorff, Daniel
Steinert, Robert
Prudence, Kevin
Mohajeri, M. Hasan
PEERJ, 2018, 6
[29] A band Lanczos approach for calculation of vibrational coupled cluster response functions: simultaneous calculation of IR and Raman anharmonic spectra for the complex of pyridine and a silver cation
Godtliebsen, Ian H.
Christiansen, Ove
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2013, 15 (25) : 10035 - 10048
[30] The STAG code: A fully relativistic super transition array calculation using Green's functions
Gill, N. M.
Fontes, C. J.
Starrett, C. E.
HIGH ENERGY DENSITY PHYSICS, 2024, 50

← 1 2 3 4 5 →