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EPJ A Highlight - Automated symmetry adaption in nuclear many-body theory

Symmetry reduction process of a prototypical many-body expression leading to an equivalent symmetry-reduced form. Recoupling coefficients arising from the AMC program are shown in red.

The extreme cost of solving the A-nucleon Schrödinger equation can be minimized by leveraging rotational symmetry and, thus, enable the computation of observables in heavy nuclei and/or with high precision.

The associated reduction process, which amounts to re-expressing the working equations in terms of rotationally-invariant objects, requires lengthy symbolic manipulations of elaborate algebraic identities.

For the first time, this involved process is automated by a powerful graph-theory-based tool, the AMC code, which condenses months of error-prone derivations into a simple computational task performed within seconds.

The AMC program tightens the gap for a full automation of the many-body workflow, thereby lowering the time required to build and test novel quantum many-body formalisms.

B. Fraboni and G. García López
The authors wish to thank the anonymous reviewers for their helpful comments and suggestions. They are also grateful to EPJP for their corrections pertaining to the English language.

E. Tala-Tebue, University of Dschang, Bandjoun, Cameroon

ISSN: 2190-5444 (Electronic Edition)

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