Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems

DOI10.1063/1.4817863zbMath1302.37032arXiv1305.3974OpenAlexW2007887788MaRDI QIDQ5407622

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Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3974

Mathematics Subject Classification ID

Related Items (11)

On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮ On integrable models close to slow-fast Hamiltonian systems ⋮ Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters ⋮ Semiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\) ⋮ The method of averaging for Poisson connections on foliations and its applications ⋮ \(G\)-invariant deformations of almost-coupling Poisson structures ⋮ Perturbed Hamiltonian dynamics from deformation of Poisson brackets ⋮ Adiabatic approximation via hodograph translation and zero-curvature equations ⋮ Deformations of Poisson structures on fibered manifolds and adiabatic slow–fast systems ⋮ Adiabatics using phase space translations and small parameter ``dynamics ⋮ A geometric proof of the periodic averaging theorem on Riemannian manifolds

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