Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples

It is well known that the allowed wavefunctions for an N-electron system should be antisymmetric with respect to the permutation of any pair of electron labels. On the other hand, the Hamiltonian for such system is invariant under any permutation of electron labels and, consequently, its eigenfuncti...

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Detalles Bibliográficos
Autor principal: Fernández, Francisco Marcelo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Física
Wave function
Antisymmetry
Physics
Symmetric group
Eigenfunction
Irreducible representation
Antisymmetric relation
Hamiltonian (quantum mechanics)
Invariant (physics)
Mathematical physics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125278
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125278
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Wave function
Antisymmetry
Physics
Symmetric group
Eigenfunction
Irreducible representation
Antisymmetric relation
Hamiltonian (quantum mechanics)
Invariant (physics)
Mathematical physics
spellingShingle Física
Wave function
Antisymmetry
Physics
Symmetric group
Eigenfunction
Irreducible representation
Antisymmetric relation
Hamiltonian (quantum mechanics)
Invariant (physics)
Mathematical physics
Fernández, Francisco Marcelo
Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
topic_facet Física
Wave function
Antisymmetry
Physics
Symmetric group
Eigenfunction
Irreducible representation
Antisymmetric relation
Hamiltonian (quantum mechanics)
Invariant (physics)
Mathematical physics
description It is well known that the allowed wavefunctions for an N-electron system should be antisymmetric with respect to the permutation of any pair of electron labels. On the other hand, the Hamiltonian for such system is invariant under any permutation of electron labels and, consequently, its eigenfunctions are basis for the irreducible representations of the symmetric group S<sub>N</sub>.Here, we investigate which symmetry species of the S<sub>N</sub> group are compatible with the antisymmetry principle. We illustrate the conclusions by means of simple N-particle one-dimensional models with harmonic interactions.
format Articulo
Preprint
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
title_short Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
title_full Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
title_fullStr Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
title_full_unstemmed Allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
title_sort allowed permutation symmetry in atomic and molecular wavefunctions: simple examples
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/125278
work_keys_str_mv AT fernandezfranciscomarcelo allowedpermutationsymmetryinatomicandmolecularwavefunctionssimpleexamples
bdutipo_str Repositorios
_version_ 1764820451477946368

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