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

Robert Gębarowski. "On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields." Banach Center Publications 94.1 (2011): 197-204. <http://eudml.org/doc/282129>.

@article{RobertGębarowski2011,
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.},
author = {Robert Gębarowski},
journal = {Banach Center Publications},
keywords = {Hamiltonian system; non-integrability; hydrogen atoms in strong external fields},
language = {eng},
number = {1},
pages = {197-204},
title = {On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields},
url = {http://eudml.org/doc/282129},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Robert Gębarowski
TI - On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 197
EP - 204
AB - 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.
LA - eng
KW - Hamiltonian system; non-integrability; hydrogen atoms in strong external fields
UR - http://eudml.org/doc/282129
ER -