Lie algebra for rotational subsystems of a driven asymmetric top

Eugenio Pozzoli, Monika Leibscher, Mario Sigalotti, Ugo Boscain, Christiane P. Koch

Published 2021-10-07Version 1

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.