On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields
Robert Gębarowski
Banach Center Publications, Tome 95 (2011), p. 197-204 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:282129
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     author = {Robert G\k ebarowski},
     title = {On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {197-204},
     zbl = {1234.37043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-12}
}
Robert Gębarowski. On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields. Banach Center Publications, Tome 95 (2011) pp. 197-204. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-12/