Semiclassical partition function for the double-well potential

dc.contributor.authorFogaça, Daniel Kroff
dc.contributor.authorMoreira, André Bessa
dc.contributor.authorCarvalho Filho, Carlos Alberto Aragão de
dc.contributor.authorFraga, Eduardo Souza
dc.contributor.authorJorás, Sergio Eduardo de Carvalho Eyer
dc.date.accessioned2020-08-05T17:09:08Z
dc.date.available2020-08-05T17:09:08Z
dc.date.issued2014-07-15
dc.description.resumoWe compute the partition function and specific heat for a quantum-mechanical particle under the influence of a quartic double-well potential nonperturbatively, using the semiclassical method. Near the region of bounded motion in the inverted potential, the usual quadratic approximation fails due to the existence of multiple classical solutions and caustics. Using the tools of catastrophe theory, we identify the relevant classical solutions, showing that at most two have to be considered. This corresponds to the first step towards the study of spontaneous symmetry breaking and thermal phase transitions in the nonperturbative framework of the boundary effective theorypt_BR
dc.identifier.citationKROFF, D.; BESSA, A.; CARVALHO, C. A. A. de; FRAGA, E. S.; JORÁS, S. E.. Semiclassical partition function for the double-well potential. Physical Review D, [s.l.], v. 90, n. 2, p. 1-8, 15 jul. 2014. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.025019. Acesso em: 04 ago. 2020. http://dx.doi.org/10.1103/physrevd.90.025019.pt_BR
dc.identifier.doi10.1103/PhysRevD.90.025019
dc.identifier.issn2470-0029
dc.identifier.urihttps://repositorio.ufrn.br/jspui/handle/123456789/29781
dc.languageenpt_BR
dc.publisherAmerican Physical Societypt_BR
dc.rightsAttribution 3.0 Brazil*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/br/*
dc.subjectSemiclassical partition functionpt_BR
dc.titleSemiclassical partition function for the double-well potentialpt_BR
dc.typearticlept_BR

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