A user's guide to fortran programs for Wigner and Racah coefficients of SU3☆

A user's guide to fortran programs for Wigner and Racah coefficients of SU3☆
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DOI:
10.1016/0010-4655(73)90077-5
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发表时间:
1984
影响因子:
6.3
通讯作者:
Y. Akiyama;J. Draayer
Y. Akiyama;J. Draayer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Y. Akiyama;J. Draayer

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SU33SU2XU-和SU33R3维格纳系数作为因子M!,M~Mmax = 32,并对任意(~),M~N~Nmax = 32,计算了二项式系数和SU~3 Racah系数。典型的耦合和多样性。对于SU~3~SU~XUj,Wigner系数Ai + A2 + A3~Mmax,而对于SU~3~R3,Wigner系数Ai + A2 + A3~Mmax.通过修改一个基于Biedenharn-Louck压力的A建立过程,并且只有一个子程序,可以改变极限Mmax和Nmax。采用用于指定外部多重性的定义来生成SU 3 j SU 2 X U 1 Wigner系数[1]。SU3 Racah典型的运行时间系数遵循标准的重新耦合公式[21.运行时间是SU_3复杂性的一个关键函数。3 R_3 Wigner系数是由相关耦合得到的。SU3 3 R3 Wigner系数是通过酉变换将SU3 3 SUxU1 Wigner系数作为SU3 3 SUxU1变换系数的加权和来计算的,因此计算成本最高。SU3 3 R3基态[3]。
SU3 3 SU2 X U~ and SU3 3 R3 Wignercoefficients as Factorials M!, M~ Mmax 32, and binomial coefficients well as SU3 Racah coefficients are calculated for arbitrary(~), M~ N~ Nmax= 32, are storedin common. Typically couplings and multiplicity. for SU3~ SU~ X Uj Wignercoefficients Ai+ A2+ A3~ Mmax whereas for SU3 3 R3 Wigner coefficients it+~ 4+ L~ Nmax. Method of solution Thelimits Mmax andNmax may be altered by modifying one A build-up process based on the Biedenharn—Louck pres- and only one subprogram. cription for specifying the outer multiplicity is employed to generate SU3 j SU2 X U1 Wigner coefficients [1]. SU3 Racah Typical running time coefficients followthrough standard recoupling formulae [21. Running time is a critical function of the complexity of the SU3 3 R3 Wignercoefficients are obtained from the corres- couplings involved. SU3 3 R3 Wignercoefficients are evaluated ponding SU3 3 SU~ x U1 Wignercoefficients via unitary as a weighted sum over SU3 3 SU~ X U~ Wigner coefficients transformation coefficients relating SU3 3 SU~ X U1 and and hence are the most costly to calculate. SU3 3 R3 basis states [3].