Difference between revisions of "Wigner 6j.m"

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{{DISPLAYTITLE:wigner_6j.m}}
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{{DISPLAYTITLE:wigner_6j.m}} __NOTOC__
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Wigner 6j-symbols.
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Wigner 6j-symbols. If physically inadmissible indices are supplied, a zero is returned. Order of elements:
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                    / j1 j2 j3 \
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                    \ j4 j5 j6 /
  
 
==Syntax==
 
==Syntax==
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     w=wigner_6j(j1,j2,j3,j4,j5,j6)
 
     w=wigner_6j(j1,j2,j3,j4,j5,j6)
  
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==Description==
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==Parameters==
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If physically inadmissible indices are supplied, a zero is returned. Order of elements:
 
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                    / j1 j2 j3 \
 
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                    \ j4 j5 j6 /
 
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==Arguments==
 
  
 
     j1-j6  - integers arranged in the order shown above.
 
     j1-j6  - integers arranged in the order shown above.
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==See also==
 
==See also==
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[[wigner_3j.m]], [[clebsch_gordan.m]]
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[[wigner_3j.m]], [[clebsch_gordan.m]], [[add_spins.m]], [[cg_fast.m]], [[comm.m]], [[hilb2liouv.m]], [[irr_sph_ten.m]], [[ist_product_table.m]], [[lorentz.m]], [[mat2sphten.m]], [[multipack.m]], [[pauli.m]], [[perm_group.m]], [[rocomm.m]], [[rwalk.m]], [[sle_operators.m]], [[sorensen.m]], [[spher_harmon.m]], [[sphten2mat.m]], [[stev2sph.m]], [[stevens.m]], [[superop.m]], [[twospinist.m]], [[wigner.m]], [[Kernel_utilities]]
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[[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups|SU(2), SO(3), and other groups]]
 
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''Version 2.8, authors: [[Ilya Kuprov]]''
 
''Version 2.8, authors: [[Ilya Kuprov]]''

Latest revision as of 19:43, 6 June 2026

Wigner 6j-symbols. If physically inadmissible indices are supplied, a zero is returned. Order of elements:

                   / j1 j2 j3 \
                   \ j4 j5 j6 /

Syntax

    w=wigner_6j(j1,j2,j3,j4,j5,j6)

Parameters

    j1-j6   - integers arranged in the order shown above.

Outputs

    w       - the resulting 6j-symbol

Notes

The function calls wigner_3j.m, which calls clebsch_gordan.m, which uses an arbitrary precision library. The outpput is numerically accurate to about j=10000.

See also

wigner_3j.m, clebsch_gordan.m, add_spins.m, cg_fast.m, comm.m, hilb2liouv.m, irr_sph_ten.m, ist_product_table.m, lorentz.m, mat2sphten.m, multipack.m, pauli.m, perm_group.m, rocomm.m, rwalk.m, sle_operators.m, sorensen.m, spher_harmon.m, sphten2mat.m, stev2sph.m, stevens.m, superop.m, twospinist.m, wigner.m, Kernel_utilities

Version 2.8, authors: Ilya Kuprov