An introduction to classical monodromy: applications to molecules in external fields
Metadatos
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2022-03-08Referencia bibliográfica
Published version: J. Math. Phys. 63, 032702 (2022); [doi: 10.1063/5.0079354]
Patrocinador
Ministerio de Ciencia e Innovación (Spain) and Project PID2019-106732GB-I00 (MINECO); Spanish Project No. FIS2017-89349-P (MINECO); Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund (ERDF), Ref. SOMM17/6105/UGRResumen
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 semitheoretical
method is derived to detect classical monodromy. The validity of the monodromy test is
numerically illustrated for several systems with azimuthal symmetry.