Given the Hamiltonian H 0 of a completely integrable system, the perturbed problem is described by the Hamiltonian H = H 0 + εHp, where Hp is a function whose numerical value is of the same order of H 0, and ε << 1. The perturbed problem thus differs slightly from the unperturbed one, but unfortunately the same is not true for the solution: a small perturbation can give rise to secular effects, i.e., to a slow but progressive wandering from the unperturbed, and known for infinite time, solution.
CITATION STYLE
Cordani, B. (2013). Perturbation Theory. In Progress in Mathematical Physics (Vol. 64, pp. 83–130). Birkhauser. https://doi.org/10.1007/978-0-8176-8370-2_3
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