Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems Lundholm, Douglas Nam, Phan Portmann, Fabian 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. Springer 2016 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/1622 Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. <i>Archive for Rational Mechanics and Analysis</i>. 2016;219(3):1343-1382. doi:<a href="https://doi.org/10.1007/s00205-015-0923-5">10.1007/s00205-015-0923-5</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00205-015-0923-5 info:eu-repo/semantics/altIdentifier/wos/000368535400010 info:eu-repo/semantics/altIdentifier/arxiv/1501.04570 info:eu-repo/semantics/openAccess