Artículo
Comment on: “On the computation of eigenvalues of the anharmonic Coulombic potential”
Fecha de publicación:
04/2019
Editorial:
Springer
Revista:
Journal of Mathematical Chemistry
ISSN:
0259-9791
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this comment we show that the claims by Cassidy et al (J Math Chem 56: 477, 2018) about the limitations of the Riccati Padé method (RPM) are unfounded. To this end we compare the performance of the RPM and their DESCM by means of the calculation of the eigenvalues of a class of one-dimensional potentials. We show that the RPM is simple and extremely accurate. In addition to the exponential convergence of its approximate eigenvalues the RPM does not require any variable transformation, adjustable parameters or scaling that are necessary for the improvement of the performance of the DESCM. An additional remarkable feature of the RPM is that it provides upper and lower bounds to the eigenvalues of the perturbed Coulomb potentials chosen for this test.
Palabras clave:
RPM
,
DESCM
,
UPPER AND LOWER BOUNDS
,
PERTURBED COULOMB POTENTIAL
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Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Fernández, Francisco Marcelo; Comment on: “On the computation of eigenvalues of the anharmonic Coulombic potential”; Springer; Journal of Mathematical Chemistry; 57; 4; 4-2019; 1181-1190
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