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| HAL : in2p3-00488905, version 1 |
| arXiv : 1001.1706 |
| DOI : 10.1088/1751-8113/43/26/265302 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Physics A Mathematical and Theoretical 43 (2010) 265302 |
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| Eigenstates with the auxiliary field method |
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| C. SemayB. Silvestre-Brac1 |
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| (2010) |
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| The auxiliary field method is a powerful technique to obtain approximate closed-form energy formulas for eigenequations in quantum mechanics. Very good results can be obtained for Schrödinger and relativistic Hamiltonians with various potentials, even in the case of many-body problems. This method can also provide approximate eigenstates in terms of well known wavefunctions, for instance harmonic oscillator or hydrogen-like states, but with a characteristic size which depends on quantum numbers. In this paper, we consider a two-body Schrödinger equation with a linear potential and show that very good approximations of the corresponding eigenstates can be obtained with the auxiliary field method. |
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| 1 : | LPSC - Laboratoire de Physique Subatomique et de Cosmologie |
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| Thème(s) | : | Physique/Physique mathématique Mathématiques/Physique mathématique Physique/Physique Quantique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/1001.1706 |
| in2p3-00488905, version 1 | |
| http://hal.in2p3.fr/in2p3-00488905 | |
| oai:hal.in2p3.fr:in2p3-00488905 | |
| Contributeur : Emmanuelle Vernay | |
| Soumis le : Jeudi 3 Juin 2010, 12:46:46 | |
| Dernière modification le : Jeudi 3 Juin 2010, 13:09:34 | |
