On the symmetry of three identical interacting particles in a one-dimensional box

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 D<sub>3d</sub>. Group theory greatly facilitates the application of perturbation theory and the Rayleigh-Ri...

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Autores principales: Amore, Paolo, Fernández, Francisco Marcelo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
Materias:
Química
Ciencias Naturales
Ciencias Exactas
Física
Box trap
Identical particles
Perturbation theory
Point-group symmetry
Variational method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97259
https://ri.conicet.gov.ar/11336/81894
https://www.sciencedirect.com/science/article/abs/pii/S0003491615002894
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97259
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
Ciencias Naturales
Ciencias Exactas
Física
Box trap
Identical particles
Perturbation theory
Point-group symmetry
Variational method
spellingShingle Química
Ciencias Naturales
Ciencias Exactas
Física
Box trap
Identical particles
Perturbation theory
Point-group symmetry
Variational method
Amore, Paolo
Fernández, Francisco Marcelo
On the symmetry of three identical interacting particles in a one-dimensional box
topic_facet Química
Ciencias Naturales
Ciencias Exactas
Física
Box trap
Identical particles
Perturbation theory
Point-group symmetry
Variational method
description 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 D<sub>3d</sub>. 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.
format Articulo
Preprint
author Amore, Paolo
Fernández, Francisco Marcelo
author_facet Amore, Paolo
Fernández, Francisco Marcelo
author_sort Amore, Paolo
title On the symmetry of three identical interacting particles in a one-dimensional box
title_short On the symmetry of three identical interacting particles in a one-dimensional box
title_full On the symmetry of three identical interacting particles in a one-dimensional box
title_fullStr On the symmetry of three identical interacting particles in a one-dimensional box
title_full_unstemmed On the symmetry of three identical interacting particles in a one-dimensional box
title_sort on the symmetry of three identical interacting particles in a one-dimensional box
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/97259
https://ri.conicet.gov.ar/11336/81894
https://www.sciencedirect.com/science/article/abs/pii/S0003491615002894
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AT fernandezfranciscomarcelo onthesymmetryofthreeidenticalinteractingparticlesinaonedimensionalbox
bdutipo_str Repositorios
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