Lie algebra for rotational subsystems of a driven asymmetric top
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.