Solution of atomic and molecular Schrödinger equation described by hyperspherical coordinates

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)385-390
Journal / PublicationInternational Journal of Quantum Chemistry
Volume45
Issue number4
Publication statusPublished - 1993
Externally publishedYes

Abstract

The Schrödinger equation for an atom or molecule is expressed in terms of hyperspherical coordinates. The eigenfunction is expanded in a series of orthonormal complete sets: Yλ,μ(Ω), eigenfunctions of generalized angular momentum scalar operator, and L vn, generalized Laguerre polynomials. The recurrence relation of the expansion coefficients are derived and the eigenvalues can be obtained from the secular equation.