On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields
Volume 94 / 2011
Banach Center Publications 94 (2011), 197-204
MSC: Primary 37J30; Secondary 81V45, 70H07.
DOI: 10.4064/bc94-0-12
Abstract
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.
