https://doi.org/10.1140/epja/s10050-026-01862-z
Review
The finite amplitude method for nuclear collective motion
1
Center for Computational Sciences, University of Tsukuba, 305-8577, Tsukuba, Japan
2
Institute of Pure and Applied Sciences, University of Tsukuba, 305-8571, Tsukuba, Japan
3
RIKEN Nishina Center, 351-0198, Wako, Japan
a
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Received:
8
December
2025
Accepted:
31
March
2026
Published online:
3
July
2026
Abstract
The linear response theory is a powerful tool to study properties of quantum many-particle systems. It uses a one-body perturbation field (as a pump) and measures a change in another (or the same) one-body observable (as a probe). In the context of time-dependent density functional theory (TDDFT), the primary target of the linear response is the density response. The finite amplitude method (FAM) significantly reduces both computational cost and coding tasks, and succeeds in facilitating the linear response calculations in a variety of fields in nuclear physics. We start with a review of the linear response theory and present the essence of the FAM theory and various applications, especially in studies of nuclear collective dynamics.
Communicated by Thomas Duguet.
© The Author(s) 2026
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