The Perturbation of Hamiltonian Systems with a Non-Abelian Symmetry
Year: 2025
Type: dissertation
Abstract: The perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a coordinate system intrinsic to the geometry of the symmetry, we generalize well-known estimates of Nekhoroshev (1977) in a class of systems having almost G-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits.
Source: Caltech Library
DOI: 10.7907/refg-y469
Author: Blaom, Anthony David
Institution: California Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6959369377
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