Physics – Mathematical Physics
Scientific paper
2011-01-13
Physics
Mathematical Physics
23 pages; some typos corrected
Scientific paper
The so-called ground state representation for the Laplacian on a subdomain of $\mathbb{R}^n$ is used to derive certain many-particle Hardy inequalities in a simple and systematic way. 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.
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