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| Titre: | Generalized Bertlmann–Martin inequalities and power-law potentials |
| Auteur(s): | Mezhoud, R.
Lghezou, F. Z.
Chouchaoui, A.
Kerris, A. T.
Lombard, R. J. |
| Mots-clés: | Power-law potentials
Generalized Bertlmann |
| Date de publication: | 2003 |
| Collection/Numéro: | Annals of Physics/N° 308 (2003);pp. 143–155 |
| Résumé: | In the three-dimensional Schr€odinger equation, the generalized Bertlmann–Martin inequalities connect the moments of the ground state density to the energy differences between the lowest level of each angular momentum ‘ and the ground state. They are discussed in the case of the power-law potentials, as well as the ln r potential. Use is made of the derived moments to reconstruct the form factor F ðqÞ, i.e., the Fourier transform of the ground state density. Pad e approximants are used to describe the high q behavior of the form factor when only a limited number of low order moments are known. The estimate of the ground state density at the origin is also discussed |
| URI/URL: | http://dlibrary.univ-boumerdes.dz:8080/jspui/handle/123456789/377 |
| Collection(s) : | Publications Internationales
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