Topology of potential hypersurfaces of two, three and four dipoles interacting at long distances

Abstract : The whole sets of critical points of analytical functions corresponding to the long-range two-body interaction between two, three and four dipole vectors set at the vertices of several polygons are determined using topology theorems. Betti numbers associated to the configuration spaces are first obtained, then stationary points are located via an analytical gradient method till the Morse inequalities are checked.
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Article dans une revue
Journal of Mathematical Chemistry, 1998, 22 (2-4), pp.235-247
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Soumis le : mercredi 4 octobre 2017 - 19:07:39
Dernière modification le : jeudi 11 janvier 2018 - 06:28:13

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  • HAL Id : hal-01610613, version 1

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Michel Rérat, M. Gélize, D. Liotard. Topology of potential hypersurfaces of two, three and four dipoles interacting at long distances. Journal of Mathematical Chemistry, 1998, 22 (2-4), pp.235-247. 〈hal-01610613〉

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