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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129287
Aporte de:
Descripción
Sumario: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.