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We apply Bogolyubovs averaging theorem to the motion of an electron of an atom driven by a linearly polarized laser field in the Kramers-Henneberger frame. We provide estimates of the differences between the original trajectories and the trajectories associated with the averaged system as a function of the parameters of the laser field and the region of phase space. We formulate a modified Bogolyubov averaging theorem based on the Hamiltonian properties of the system, and show that this version is better suited for these systems. From these estimates, we discuss the validity of the Kramers-Henneberger approximation.
Atoms exposed to high-frequency strong laser fields experience the ionization suppression due to the deformation of Kramers-Henneberger (KH) wave functions, which has not been confirmed yet in experiment. We propose a bichromatic pump-probe strategy
We present a numerical study of the application of the Shannon entropy technique to the planar restricted three-body problem in the vicinity of first-order interior mean-motion resonances with the perturber. We estimate the diffusion coefficient for
We study the small mass limit of the equation describing planar motion of a charged particle of a small mass $mu$ in a force field, containing a magnetic component, perturbed by a stochastic term. We regularize the problem by adding a small friction
Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincare--Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta eq
We consider the Vlasov-Maxwell equations with one spatial direction and two momenta, one in the longitudinal direction and one in the transverse direction. By solving the Jacobi identity, we derive reduced Hamiltonian fluid models for the density, th