Integrals of motion and quantum operators for hydrogenic atoms in external fields

dc.contributor.author	Beims, Marcus Werner	pt_BR
dc.contributor.author	Gallas, Jason Alfredo Carlson	pt_BR
dc.date.accessioned	2014-10-04T02:13:29Z	pt_BR
dc.date.issued	2000	pt_BR
dc.identifier.issn	1050-2947	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/104173	pt_BR
dc.description.abstract	We report five cases of integrability for a hydrogenic atom under three static external fields: a magnetic field, an electric field, and a van der Waals interaction. Exact integrals of motion and corresponding quantum operators are obtained explicitly for each case. Integrals of motion (quantum operators) can be expressed as components of a suitably generalized Runge-Lenz vector (operator). Quadratic quantum operators are found to have the amazing property of requiring a nonclassical extra term proportional to h². The structuring of the classical phase space is investigated numerically via Poincare surfaces of section and corroborates the analytical results.	en
dc.format.mimetype	application/pdf	pt_BR
dc.language.iso	eng	pt_BR
dc.relation.ispartof	Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 62, no. 4 (Oct. 2000), 043410 12p.	pt_BR
dc.rights	Open Access	en
dc.subject	Teoria quântica	pt_BR
dc.title	Integrals of motion and quantum operators for hydrogenic atoms in external fields	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	000275818	pt_BR
dc.type.origin	Estrangeiro	pt_BR

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