On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields

Tom 94 / 2011

Robert Gębarowski Banach Center Publications 94 (2011), 197-204 MSC: Primary 37J30; Secondary 81V45, 70H07. DOI: 10.4064/bc94-0-12

Streszczenie

Hydrogen atoms placed in external fields serve as a paradigm of a strongly coupled multidimensional Hamiltonian system. This system has been already very extensively studied, using experimental measurements and a wealth of theoretical methods. In this work, we apply the Morales-Ramis theory of non-integrability of Hamiltonian systems to the case of the hydrogen atom in perpendicular (crossed) static electric and magnetic uniform fields.

Autorzy

  • Robert GębarowskiKatedra Struktury Materii
    Instytut Fizyki
    Politechnika Krakowska
    Podchorążych 1
    30-084 Kraków, Poland
    e-mail

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