A Hamiltonian-free description of single particle dynamics for hopelessly complex periodic systems

DOI10.1063/1.528795zbMath0707.70013OpenAlexW2133841410MaRDI QIDQ3489533

Etienne Forest

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528795

zbMATH Keywords

normalization transformationaccelerator dynamicsLie operatorsDeprit-like normalizationsnonlinear Floquet variablespicture of periodic systemspseudo- Hamiltonians

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Convergence of general decompositions of exponential operators, Convergence of unitary and complex decompositions of exponential operators, Improved Trotter-like formula, Quantum Monte Carlo methods and general decomposition theory of exponential operators and symplectic integrators

Cites Work

• Theory of the alternating-gradient synchrotron
• Normal form and representation theory
• Elimination of stochasticity in stellarators
• Computation of nonlinear behavior of Hamiltonian systems using Lie algebraic methods
• Lie series and invariant functions for analytic symplectic maps