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dc.contributor.author
Amore, Paolo
dc.contributor.author
Fernández, Francisco Marcelo
dc.date.available
2019-08-20T22:57:27Z
dc.date.issued
2015-11
dc.identifier.citation
Amore, Paolo; Fernández, Francisco Marcelo; On the symmetry of three identical interacting particles in a one-dimensional box; Elsevier Academic Press Inc; Annals of Physics (New York); 362; 11-2015; 118-129
dc.identifier.issn
0003-4916
dc.identifier.uri
http://hdl.handle.net/11336/81894
dc.description.abstract
We study a quantum-mechanical system of three particles in a one-dimensional box with two-particle harmonic interactions. The symmetry of the system is described by the point group D3d. Group theory greatly facilitates the application of perturbation theory and the Rayleigh-Ritz variational method. A great advantage is that every irreducible representation can be treated separately. Group theory enables us to predict the connection between the states for the small box length and large box length regimes of the system. We discuss the crossings and avoided crossings of the energy levels as well as other interesting features of the spectrum of the system.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Academic Press Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Box Trap
dc.subject
Identical Particles
dc.subject
Perturbation Theory
dc.subject
Point-Group Symmetry
dc.subject
Variational Method
dc.subject.classification
Físico-Química, Ciencia de los Polímeros, Electroquímica
dc.subject.classification
Ciencias Químicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the symmetry of three identical interacting particles in a one-dimensional box
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-05-23T20:32:51Z
dc.journal.volume
362
dc.journal.pagination
118-129
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Amore, Paolo. Universidad de Colima. Facultad de Ciencia; México
dc.description.fil
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
dc.journal.title
Annals of Physics (New York)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0003491615002894
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1504.01762
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aop.2015.07.024
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