par Baye, Daniel Jean 
;Vincke, Marc
Référence Journal of Physics. B, Atomic Molecular and Optical Physics, 24, 16, page (3551-3564)
Publication Publié, 1991
;Vincke, Marc Référence Journal of Physics. B, Atomic Molecular and Optical Physics, 24, 16, page (3551-3564)
Publication Publié, 1991
Article révisé par les pairs
| Résumé : | Without any analytic calculation of a matrix element, energies and root-mean-square radii of the hydrogen atom in low and intermediate magnetic fields are calculated with high accuracy. With the Lagrange functions technique, the Schrodinger equation in semiparabolic coordinates is discretized on a small modified Laguerre mesh involving ten points for each coordinate. The mesh equations approximate a variational calculation with at most 55 basis functions. For a reduced field gamma =0.001 or 0.01, the accuracy of the energies is better than 10 -12 for a number of low-lying m=0 and +or-1 states of both parities. At gamma =0.1, the accuracy starts decreasing beyond the second excited state because the dominant spherical symmetry of the basis becomes less appropriate. © 1991 IOP Publishing Ltd. |
