2 papers
math-ph2025
Finite-Rank Optimizers for the mass--supercritical Lieb--Thirring and Hardy--Lieb--Thirring Inequalities
Giao Ky Duong, Thi Minh Thao Le, Phan Thà nh Nam +1
We establish the existence of finite-rank operators for an interpolation version of the Lieb--Thirring inequality in the mass--supercritical case, thereby extending a result of Hon…
math-ph2025
Lieb--Thirring inequalities for large quantum systems with inverse nearest-neighbor interactions
G. K. Duong, Phan Thà nh Nam
We prove an analogue of the Lieb--Thirring inequality for many-body quantum systems with the kinetic operator and the interaction potential of the form $\sum_i Î…