Sturmian expansions for two-electron atomic systems: Singly and doubly excited states

We present a configuration interaction (CI) method based on the Sturmian expansion for bound states of a two-electron atomic system. These Sturmian functions are solutions of one-electron quantum mechanical problems, where the eigenvalue is the magnitude of a short-range potential. Also, they fulfil...

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Detalhes bibliográficos
Autores: Frapiccini, Ana Laura, Randazzo, Juan Martin, Gasaneo, Gustavo, Colavecchia, Flavio Dario
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2010
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/67785
Acesso em linha:http://hdl.handle.net/11336/67785
Access Level:Acceso aberto
Palavra-chave:Excites states
Sturmian functions
He atom
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descrição
Resumo:We present a configuration interaction (CI) method based on the Sturmian expansion for bound states of a two-electron atomic system. These Sturmian functions are solutions of one-electron quantum mechanical problems, where the eigenvalue is the magnitude of a short-range potential. Also, they fulfill the long-range boundary conditions of Coulomb potentials. We choose to expand the Sturmians of the CI basis using L2 Laguerre-type functions. We compute ground and single-excited states energies for He and H. Moreover, we are able to obtain energies and widths of double excited states of He, using a Sturmian basis with outgoing boundary conditions. In all cases, our ansatz outperforms other CI calculations, for similar basis size. © 2010 The American Physical Society.