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| Titre : |
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Exotic atoms in two dimensions |
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| Auteur : |
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M. Combescure1, C. Fayard1, A. Khare, J.-M. Richard1 |
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| Laboratoire : |
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| équipe(s) de recherche : |
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théorie |
| Résumé : |
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We study the behaviour of energy levels in two dimensions for exotic atoms, i.e., when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with these of the one- and three-dimensional cases. The energy shifts are well reproduces by a Trueman--Deser-like formula delta(E)= A/Log(a/R), where a is the scattering length in the short-range is potential and A the square of the wave function at the origin in the external short-range potential. The interpretation of R is more delicate, as is every formulation of a pseudo-potential in two dimensions. |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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Date de publication ou d'écriture : |
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2011 |
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| Nom du périodique : |
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| Journal of Physics A: Mathematical and Theoretical |
| Publisher |
Institute of Physics: Hybrid Open Access |
| ISSN |
1751-8113 (eISSN : 1751-8121) |
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| Volume : |
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44 |
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| Page/Article : |
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275302 |
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| Commentaire : |
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pdflatex, 7 pages, 5 figures |
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