Lie algebra for rotational subsystems of a driven asymmetric top

Pozzoli E, Leibscher M, Sigalotti M, Boscain U, Koch CP (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 55

Article Number: 215301

Journal Issue: 21

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.

Involved external institutions

Universität Kassel DE Germany (DE) Université de Paris FR France (FR)

How to cite

APA:

Pozzoli, E., Leibscher, M., Sigalotti, M., Boscain, U., & Koch, C.P. (2022). Lie algebra for rotational subsystems of a driven asymmetric top. Journal of Physics A: Mathematical and Theoretical, 55(21). https://doi.org/10.1088/1751-8121/ac631d

MLA:

Pozzoli, Eugenio, et al. "Lie algebra for rotational subsystems of a driven asymmetric top." Journal of Physics A: Mathematical and Theoretical 55.21 (2022).

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