Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches

dc.contributor.author	Lima, Diefferson Rubeni da Rosa de	pt_BR
dc.contributor.author	Foerster, Angela	pt_BR
dc.contributor.author	Roditi, Itzhak	pt_BR
dc.date.accessioned	2014-10-15T02:12:30Z	pt_BR
dc.date.issued	2012	pt_BR
dc.identifier.issn	1050-2947	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/104549	pt_BR
dc.description.abstract	In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground-state energy of the relative motion of a system of two fermions with spin up and spin down interacting via a delta-function potential in a one-dimensional (1D) harmonic trap. Our results show good agreement with the analytical solution of the problem, and provide a starting point for the investigation of more complex few-body systems where no exact theoretical solution is available.	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. 86, no. 4 (Oct. 2012), 043619, 6 p.	pt_BR
dc.rights	Open Access	en
dc.subject	Condensação Bose-Einstein	pt_BR
dc.subject	Equacao de bethe ansatz	pt_BR
dc.subject	Técnicas variacionais	pt_BR
dc.subject	Sistemas de férmions	pt_BR
dc.title	Two interacting fermions in a one-dimensional harmonic trap : matching the Bethe ansatz and variational approaches	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	000868104	pt_BR
dc.type.origin	Estrangeiro	pt_BR

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