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arXiv · 2103.13711

An introduction to classical monodromy: applications to molecules in external fields

Juan J. Omiste·Rosario González-Férez·Rafael Ortega
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Abstract

An integrable Hamiltonian system presents monodromy if the action-angle variables cannot be defined globally. As a prototype of classical monodromy with azimuthal symmetry, we consider a linear molecule interacting with external fields and explore the topology structure of its phase space. Based on the behavior of closed orbits around singular points or regions of the energy-momentum plane, a semi-theoretical method is derived to detect classical monodromy. The validity of the monodromy test is numerically illustrated for several systems with azimuthal symmetry.

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Juan J. Omiste, Rosario González-Férez, Rafael Ortega. 2021-03-25. An introduction to classical monodromy: applications to molecules in external fields. https://doi.org/10.1063/5.0079354

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