Artículo
Gross misinterpretation of a conditionally solvable eigenvalue equation
Fecha de publicación:
10/11/2020
Editorial:
World Scientific
Revista:
International Journal of Modern Physics A
ISSN:
0217-751X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under suitable truncation, yields exact analytical eigenvalues and eigenfunctions for particular values of a model parameter. From these solutions some researchers have derived a variety of predictions like allowed angular frequencies, allowed field intensities and the like. We also solve the eigenvalue equation numerically by means of the variational Ritz method and compare the resulting eigenvalues with those provided by the truncation condition. In this way we prove that those physical predictions are merely artifacts of the truncation condition.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Amore, Paolo; Fernández, Francisco Marcelo; Gross misinterpretation of a conditionally solvable eigenvalue equation; World Scientific; International Journal of Modern Physics A; 35; 31; 10-11-2020; 1-12
Compartir
Altmétricas