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Nat Commun
Nat Commun
Nature Communications
2041-1723
Nature Publishing Group UK London

39261489
52420
10.1038/s41467-024-52420-4
Publisher Correction
Publisher Correction: Guiding charged particles in vacuum via Lagrange points
http://orcid.org/0009-0004-6523-4390
Luo Haokun 1
Wei Yunxuan 1
Pyrialakos Georgios G. 1
http://orcid.org/0000-0002-7091-1470
Khajavikhan Mercedeh khajavik@usc.edu

12
http://orcid.org/0000-0003-3630-7234
Christodoulides Demetrios N. Demetri@usc.edu

12
1 https://ror.org/03taz7m60 grid.42505.36 0000 0001 2156 6853 Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA 90089 USA
2 https://ror.org/03taz7m60 grid.42505.36 0000 0001 2156 6853 Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089 USA
11 9 2024
11 9 2024
2024
15 7944© The Author(s) 2024
2024
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Subject terms

Particle physics
Matter waves and particle beams
issue-copyright-statement© Springer Nature Limited 2024
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pmcCorrection to: Nature Communications 10.1038/s41467-024-51083-5, published online 11 August 2024

In the PDF of this article, some mathematical expressions did not display correctly. On page 4, the term “(Fve)” should have been “(F⋅ve)”. On page 5, the term “v” should have been “v⊥”. The original article PDF has now been corrected. The HTML was unaffected.
