Datum
2022-05-11Metadata
Zur Langanzeige
Aufsatz
Lie algebra for rotational subsystems of a driven asymmetric top
Zusammenfassung
We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the isotropy of space, and the degeneracy increases with rotational excitation. For a given rotational excitation, we determine the nested commutators between drift and drive Hamiltonians using a graph representation. We then generate the Lie algebra for subsystems with arbitrary rotational excitation using an inductive argument.
Zitierform
In: Journal of Physics A: Mathematical and Theoretical Volume 55 / Number 21 (2022-05-11) eissn:1751-8121Förderhinweis
Gefördert im Rahmen eines Open-Access-Transformationsvertrags mit dem VerlagZitieren
@article{doi:10.17170/kobra-202205186204,
author={Pozzoli, Eugenio and Leibscher, Monika and Sigalotti, Mario and Boscain, Ugo and Koch, Christine P.},
title={Lie algebra for rotational subsystems of a driven asymmetric top},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2022}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2022$n2022 1500 1/eng 2050 ##0##http://hdl.handle.net/123456789/13875 3000 Pozzoli, Eugenio 3010 Leibscher, Monika 3010 Sigalotti, Mario 3010 Boscain, Ugo 3010 Koch, Christine P. 4000 Lie algebra for rotational subsystems of a driven asymmetric top / Pozzoli, Eugenio 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/13875=x R 4204 \$dAufsatz 4170 5550 {{Molekülrotation}} 5550 {{Steuerbarkeit}} 5550 {{Lie-Algebra}} 7136 ##0##http://hdl.handle.net/123456789/13875
2022-05-30T13:19:24Z 2022-05-30T13:19:24Z 2022-05-11 doi:10.17170/kobra-202205186204 http://hdl.handle.net/123456789/13875 Gefördert im Rahmen eines Open-Access-Transformationsvertrags mit dem Verlag eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ molecular rotation controllability Lie algebra 510 Lie algebra for rotational subsystems of a driven asymmetric top Aufsatz We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the isotropy of space, and the degeneracy increases with rotational excitation. For a given rotational excitation, we determine the nested commutators between drift and drive Hamiltonians using a graph representation. We then generate the Lie algebra for subsystems with arbitrary rotational excitation using an inductive argument. open access Pozzoli, Eugenio Leibscher, Monika Sigalotti, Mario Boscain, Ugo Koch, Christine P. doi:10.1088/1751-8121/ac631d Molekülrotation Steuerbarkeit Lie-Algebra publishedVersion eissn:1751-8121 Number 21 Journal of Physics A: Mathematical and Theoretical Volume 55 false 215301
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