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Chaos in a supercritical atom

D. U. MatrasulovDepartment of Thermal Physics, Uzbek Academy of Sciences, ul. Katartal 28, Tashkent, 700135, Republic of Uzbekistan
Physics of Atomic Nucleijournal2001en
ABI

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Stochastization of a supercritical atom (with a nuclear charge number Z in excess of 137) under the effect of a periodic perturbation is investigated. The Hamiltonian for a relativistic electron in the Coulomb field of a Z>137 charge is obtained. A simple analytic formula is derived for the critical external-field strength corresponding to the onset of stochastization. The diffusion coefficient is evaluated.

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