Wronskian method for bound states

We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent...

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Detalhes bibliográficos
Autor: Fernández, Francisco Marcelo
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2011
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositório:SEDICI (UNLP)
Idioma:inglês
OAI Identifier:oai:sedici.unlp.edu.ar:10915/129287
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/129287
Access Level:Acceso aberto
Palavra-chave:Física
Wronskian
Bound states
Descrição
Resumo:We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems. We explicitly discuss the asymptotic behavior of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider an exactly solvable model and the Gaussian potential well.