An improved discretization of Schrödinger-like radial equations

Laliena, V. ; Campo, J. (Universidad de Zaragoza)

Resumen: A new discretization of the radial equations that appear in the solution of separable second order partial differential equations with some rotational symmetry (as the Schrödinger equation in a central potential) is presented. It cures a pathology, related to the singular behavior of the radial function at the origin, that suffers in some cases the discretization of the second derivative with respect to the radial coordinate. This pathology causes an enormous slowing down of the convergence to the continuum limit when the two point boundary value problem posed by the radial equation is solved as a discrete matrix eigenvalue problem. The proposed discretization is a simple solution to that problem. Some illustrative examples are discussed.

Idioma: Inglés

DOI: 10.1088/1751-8121/aacc8b

Año: 2018

Publicado en: Journal of Physics A-Mathematical and Theoretical 51, 32 (2018), 325203 [14 pp]
ISSN: 1751-8113

Factor impacto JCR: 2.11 (2018)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 10 / 55 = 0.182 (2018) - Q1 - T1
Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 32 / 81 = 0.395 (2018) - Q2 - T2

Factor impacto SCIMAGO: 0.783 - Mathematical Physics (Q1) - Modeling and Simulation (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1) - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MAT2015-68200-C2-2-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)