Article Dans Une Revue Journal of Mathematical Physics Année : 2024

Hamiltonian Monodromy via spectral Lax pairs

Résumé

Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can be studied in a neighborhood of a focus-focus singularity by a spectral Lax pair approach. From the Lax pair, we derive a Riemann surface which allows us to compute in a straightforward way the corresponding Monodromy matrix. The general results are applied to the Jaynes–Cummings model and the spherical pendulum.

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Dates et versions

hal-04814832 , version 1 (02-12-2024)

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Citer

Gabriela Gutierrez Guillen, Dominique Sugny, Pavao Mardešić. Hamiltonian Monodromy via spectral Lax pairs. Journal of Mathematical Physics, 2024, 65 (3), ⟨10.1063/5.0098005⟩. ⟨hal-04814832⟩
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