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- W2069116391 abstract "Certain many-particle Hardy inequalities are derived in a simple and systematic way using the so-called ground state representation for the Laplacian on a subdomain of $mathbb{R}^n$. This includes geometric extensions of the standard Hardy inequalities to involve volumes of simplices spanned by a subset of points. Clifford/multilinear algebra is employed to simplify geometric computations. These results and the techniques involved are relevant for classes of exactly solvable quantum systems such as the Calogero-Sutherland models and their higher-dimensional generalizations, as well as for membrane matrix models, and models of more complicated particle interactions of geometric character." @default.
- W2069116391 created "2016-06-24" @default.
- W2069116391 creator A5025334146 @default.
- W2069116391 date "2015-04-07" @default.
- W2069116391 modified "2023-10-16" @default.
- W2069116391 title "Geometric extensions of many-particle Hardy inequalities" @default.
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- W2069116391 doi "https://doi.org/10.1088/1751-8113/48/17/175203" @default.
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