article published yes Douglas Lundholm author Phan Nam author 404092F4-F248-11E8-B48F-1D18A9856A87 Fabian Portmann author RoSe department International IST Postdoc Fellowship Programme project 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. Springer2016 eng 1501.04570 00036853540001010.1007/s00205-015-0923-5 21931343 - 1382 Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” <i>Archive for Rational Mechanics and Analysis</i>. Springer, 2016. <a href="https://doi.org/10.1007/s00205-015-0923-5">https://doi.org/10.1007/s00205-015-0923-5</a>. Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:<a href="https://doi.org/10.1007/s00205-015-0923-5">10.1007/s00205-015-0923-5</a>. D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 219, no. 3. Springer, pp. 1343–1382, 2016. 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> D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis 219 (2016) 1343–1382. Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 219(3), 1343–1382. Lundholm, D., Nam, P., &#38; Portmann, F. (2016). Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. <i>Archive for Rational Mechanics and Analysis</i>. Springer. <a href="https://doi.org/10.1007/s00205-015-0923-5">https://doi.org/10.1007/s00205-015-0923-5</a> 16222018-12-11T11:53:05Z2025-09-18T10:52:35Z