Lie algebra for rotational subsystems of a driven asymmetric top
arXiv:2110.03263 · doi:10.1088/1751-8121/ac631d
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.
arXiv comment10 pages, 7 figures
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