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arXiv · 2110.03263

Lie algebra for rotational subsystems of a driven asymmetric top

Eugenio Pozzoli·Monika Leibscher·Mario Sigalotti·Ugo Boscain·Christiane P. Koch
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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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Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Ugo Boscain, Christiane P. Koch. 2021-10-07. Lie algebra for rotational subsystems of a driven asymmetric top. https://doi.org/10.1088/1751-8121%2Fac631d

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