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Modified Laguerre basis for hydrogen‐like systems
Author(s) -
Taşeli H.
Publication year - 1997
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1997)63:5<949::aid-qua5>3.0.co;2-w
Subject(s) - laguerre polynomials , eigenvalues and eigenvectors , basis (linear algebra) , hydrogen atom , isotropy , coulomb , basis function , matrix (chemical analysis) , laguerre's method , extension (predicate logic) , quantum mechanics , mathematical physics , physics , mathematics , mathematical analysis , chemistry , orthogonal polynomials , geometry , computer science , chromatography , group (periodic table) , programming language , electron , classical orthogonal polynomials
N ‐dimensional Schrödinger equation with isotropic nonpolynomial perturbations is studied. A Laguerre basis, which is different from that of the hydrogen atom in nature, has been introduced and applied to screened Coulomb potentials. Certain very useful recurrence relations are developed for the evaluation of matrix elements analytically. Specimen eigenvalue calculations to illustrate the method as well as its extension to other potentials are presented. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 949–959, 1997