Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems
arXiv:1501.04570 · doi:10.1007/s00205-015-0923-5
Abstract
We prove analogues of the Lieb-Thirring and Hardy-Lieb-Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials, where no anti-symmetry on the wave functions is assumed. These many-body inequalities imply interesting one-body interpolation inequalities, and we show that the corresponding one- and many-body inequalities are actually equivalent in certain cases.
Revised and accepted for publication in ARMA. 36 pages, 1 figure
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