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| HAL : in2p3-00194800, version 1 |
| arXiv : 0712.0673 |
| DOI : 10.1103/PhysRevE.77.036706 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review E 77 (2008) 036706 |
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| Spin dependent operators in correlated gaussian bases |
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| B. Silvestre-Brac1V. Mathieu |
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| (2008) |
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| In their textbook, Suzuki and Varga [Y. Suzuki and K. Varga, {\em Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems} (Springer, Berlin, 1998)] present the stochastic variational method with the correlated Gaussian basis in a very exhaustive way. The matrix elements for central potentials are put under a pleasant form but the elements for spin dependent operators, when treated, are given as very cumbersome expressions. In this paper, we find a lot of new formulae for those elements. Their expressions are given in terms of the same geometrical functions that appear in the case of central potentials. These functions get therefore a universal status; this property is very useful for numerical applications. |
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| 1 : | LPSC - Laboratoire de Physique Subatomique et de Cosmologie |
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| Thème(s) | : | Physique/Physique des Hautes Energies - Phénoménologie Physique/Physique/Physique Numérique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0712.0673 |
| in2p3-00194800, version 1 | |
| http://hal.in2p3.fr/in2p3-00194800 | |
| oai:hal.in2p3.fr:in2p3-00194800 | |
| Contributeur : Emmanuelle Vernay | |
| Soumis le : Vendredi 7 Décembre 2007, 14:31:58 | |
| Dernière modification le : Lundi 14 Avril 2008, 09:02:33 | |
