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Geometric extensions of many-particle Hardy inequalities
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
2015 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 48, no 17, 175203Article in journal (Refereed) Published
Abstract [en]

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 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.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2015. Vol. 48, no 17, 175203
Keyword [en]
uncertainty principle, many-body interactions, Hardy inequality, Calogero-Sutherland models, Clifford algebra
National Category
Mathematical Analysis
Research subject
Mathematics; Physics
URN: urn:nbn:se:kth:diva-163789DOI: 10.1088/1751-8113/48/17/175203ISI: 000352358100005ScopusID: 2-s2.0-84928895604OAI: diva2:802336

QC 20150518

Available from: 2015-04-12 Created: 2015-04-12 Last updated: 2015-05-18Bibliographically approved

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