ISSN:
1432-2234
Keywords:
Key words: Three-body problem
;
Schroedinger equation
;
Potential harmonics
;
Hyperspherical coordinate
;
Generalized Laguerre function
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
Notes:
Abstract. A potential harmonic method that is suitable for the three-body coulomb systems is presented. This method is applied to solve the three-body Schroedinger equations for He and e + e − e + directly, and the calculations yield very good results for the energy. For example, we obtain a ground-state energy of −0.26181 hartrees for e + e − e +, and −2.90300 hartrees for He with finite nuclear mass, in good agreement with the exact values of −0.26200 hartrees and −2.90330 hartrees. Compared with the full-set calculations, the errors in the total energy for ground and excited states of e + e − e + are very small, around −0.0001 hartrees. We conclude that the present method is one of the best PH methods for the three-body coulomb problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002140050284
Permalink