Abstract
We report a simple and pure data-driven method to find new energy levels of quantum many-body systems only from observed line wavelengths. In our method, all the possible combinations are computed from known energy levels and wavelengths of unidentified lines. As each excited state exhibits many transition lines to different lower levels, the true levels should be reconstructed coincidentally from many level-line combinations, while the wrong combinations distribute randomly. Such a coincidence can be easily detected statistically. We demonstrate this statistical method by finding new levels for various atomic and nuclear systems from unidentified line lists available online.
Original language | English |
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Article number | 244002 |
Journal | Journal of Physics D: Applied Physics |
Volume | 56 |
Issue number | 24 |
DOIs | |
State | Published - Jun 15 2023 |
Funding
Notice: This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan ( http://energy.gov/downloads/doe-public-access-plan ). This work was partly supported by JSPS KAKENHI Grant No. 19K14680, and U.S. D.O.E Contract No. DE-AC05-00OR22725. K F thanks Prof. Masahiro Hasuo for the fruitful discussions.
Keywords
- atomic structure
- nuclear structure
- plasma spectroscopy
- quantum chaos