Lie algebra for rotational subsystems of a driven asymmetric top
Quantum Physics
2022-05-18 v1
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.
Keywords
Cite
@article{arxiv.2110.03263,
title = {Lie algebra for rotational subsystems of a driven asymmetric top},
author = {Eugenio Pozzoli and Monika Leibscher and Mario Sigalotti and Ugo Boscain and Christiane P. Koch},
journal= {arXiv preprint arXiv:2110.03263},
year = {2022}
}
Comments
10 pages, 7 figures