par Baye, Daniel Jean 
Référence Physical review. A, Atomic, Molecular, and Optical Physics, 86, 6, 062514
Publication Publié, 2012
Référence Physical review. A, Atomic, Molecular, and Optical Physics, 86, 6, 062514
Publication Publié, 2012
Article révisé par les pairs
| Résumé : | Exact analytical expressions of the dipole polarizabilities of the nonrelativistic hydrogen atom in spherical coordinates are derived with the help of the Lagrange-mesh numerical method. This method can provide exact energies and wave functions for well-chosen conditions of calculation. Exact dipole polarizabilities are obtained after an unambiguous rounding up to at least principal quantum numbers around n=30. The scalar polarizability of any nl level is given by n4[4n2+14+7l(l+1)]/4 and its tensor polarizability is given by -n4[3n2-9+11l(l+1)]l/4(2l+3), which allows the calculation of the polarizability of any hydrogen state nlm. © 2012 American Physical Society. |
