A new numerical procedure for the construction of orthonormal hyperspherical functions

A method for the numerical solution of the grand angular momentum eigenvalue problem arising in quantum mechanics of three particles is discussed. Symmetric hyperspherical coordinates are used and the orthonormal eigenfunctions are labeled in an unambiguous way. Emphasis is put on applicability of t...

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Bibliographic Details
Published in:The Journal of chemical physics 1989, Vol.90 (1), p.371-377
Main Author: WOLNIEWICZ, L
Format: Article
Language:English
Subjects:
Atomic and molecular physics
Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations)
Electronic structure of atoms, molecules and their ions: theory
Exact sciences and technology
Physics
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Summary:A method for the numerical solution of the grand angular momentum eigenvalue problem arising in quantum mechanics of three particles is discussed. Symmetric hyperspherical coordinates are used and the orthonormal eigenfunctions are labeled in an unambiguous way. Emphasis is put on applicability of the method in automatic computations and an algorithm is derived from elementary considerations. It can be used for any angular momentum and is easily vectorizable.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.456483