Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator

This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with Oh symmetry. It is shown that group theory predicts the degeneracy of the energy levels and facilitates the application of perturbation theory and the Rayleigh-Ritz var...

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Autor principal: Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Física
Anharmonic oscillator
Group theory
Oh point group
Perturbation theory
Symmetry-adapted basis set
Variational method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99429
https://ri.conicet.gov.ar/11336/48728
https://arxiv.org/abs/1501.00975
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99429
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Anharmonic oscillator
Group theory
Oh point group
Perturbation theory
Symmetry-adapted basis set
Variational method
spellingShingle Física
Anharmonic oscillator
Group theory
Oh point group
Perturbation theory
Symmetry-adapted basis set
Variational method
Fernández, Francisco Marcelo
Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
topic_facet Física
Anharmonic oscillator
Group theory
Oh point group
Perturbation theory
Symmetry-adapted basis set
Variational method
description This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with Oh symmetry. It is shown that group theory predicts the degeneracy of the energy levels and facilitates the application of perturbation theory and the Rayleigh-Ritz variational method as well as the interpretation of the results in terms of the symmetry of the solutions. We show how to obtain suitable symmetry-adapted basis sets.
format Articulo
Articulo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
title_short Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
title_full Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
title_fullStr Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
title_full_unstemmed Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
title_sort group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/99429
https://ri.conicet.gov.ar/11336/48728
https://arxiv.org/abs/1501.00975
work_keys_str_mv AT fernandezfranciscomarcelo grouptheoreticalanalysisofaquantummechanicalthreedimensionalquarticanharmonicoscillator
bdutipo_str Repositorios
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