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SciCode / 70.4 / Write a function to compute the tensor d_(ijk) which is defined as …

Problem

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step description prompt

Write a function to compute the tensor

d_{ijk}

which is defined as

d_{i j k}=\frac{1}{4} \operatorname{Tr}\left(\left\{\lambda_{i}, \lambda_{j}\right\} \lambda_{k}\right)

. The bracket represents the anticomumator and the

\lambda

s are the Gell-Mann matrices. Consider all possible commutations of the indices

i, j,

and

k

. Consider indices going from 1 to 8. Return only the real part of the results.

Plain-text mathematical notation (without MathML)

Write a function to compute the tensor d_(ijk) which is defined as d_(ijk)=(1)/(4)Tr({λ_(i),λ_(j)}λ_(k)). The bracket represents the anticomumator and the λs are the Gell-Mann matrices. Consider all possible commutations of the indices i,j,and k. Consider indices going from 1 to 8. Return only the real part of the results.

Original LaTeX notation

Write a function to compute the tensor $d_{ijk}$ which is defined as $d_{i j k}=\frac{1}{4} \operatorname{Tr}\left(\left\{\lambda_{i}, \lambda_{j}\right\} \lambda_{k}\right)$. The bracket represents the anticomumator and the $\lambda$s are the Gell-Mann matrices. Consider all possible commutations of the indices $i, j, $and $k$. Consider indices going from 1 to 8. Return only the real part of the results.

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Source and history

upstream_id / Original problem ID: 70.4
task_id: fdf53356-9503-57f4-8a75-ea7ae67ec45f
task_key: dev--49c68bb1-a088-53d9-a366-0885b5d1b63b--70~2e4
task_revision_id: 3
config / split: / dev

Official source

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