JMP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Journal of Mathematical Physics / Volume 22 / Issue 1

J. Math. Phys. 22, 1 (1981); http://dx.doi.org/10.1063/1.524735 (6 pages)

SU(mn⊇SU(m)×SU(n) isoscalar factors and S(f1+f2)⊇S( f1)×S( f2) isoscalar factors

Jin‐Quan Chen

Department of Physics, Yale University, New Haven, Connecticut 06511

A simple relation is found between the isoscalar factor (ISF) of the unitary group and those of the permutation group, i.e. the SU(mn)⊆SU(m)×SU(n)ISF is equal to the S( f1+f2)⊆S( f1)×S( f2) ISF. Since the values of S( f1+f2)⊆S( f1)×S( f2)ISF are independent of m and n, one arrives at an important conclusion that the values of SU(mn)⊆SU(m)×SU(n) ISF are also independent of m and n. Therefore they can be calculated for all m and n by a single stroke instead of one m and one n at a time. An eigenfunction metho for evaluating the SU(mn)⊆SU(m)×SU(n)ISF is given which can be easily translated into a computer program.

KEYWORDS and PACS

Keywords

SU GROUPS, GROUP THEORY, EIGENFUNCTIONS, CLEBSCH@XNGORDAN COEFFICIENTS :Q1

PACS

  • 02.20.Qs

    General properties, structure, and representation of Lie groups

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524735

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)


Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. SU(mn⊇SU(m)×SU(n) isoscalar factors and S(f1+f2)⊇S( f1)×S( f2) isoscalar factors
  2. Inverse problem transport calculations for anisotropic scattering coefficients
  3. On the matrix elements of the U(n) generators
  4. Solution of the inverse problem in multigroup transport theory
  5. Erratum: Spectral and scattering theory for the adiabatic oscillator and related potentials [J. Math. Phys. 20, 594(1979)]
Go to AIP Home
Copyright © American Institute of Physics
close