Lie algebra for rotational subsystems of a driven asymmetric top
- URL: http://arxiv.org/abs/2110.03263v1
- Date: Thu, 7 Oct 2021 08:40:34 GMT
- Title: Lie algebra for rotational subsystems of a driven asymmetric top
- Authors: Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Ugo Boscain,
Christiane P. Koch
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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