G. K. Duong

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math-ph2025

Finite-Rank Optimizers for the mass--supercritical Lieb--Thirring and Hardy--Lieb--Thirring Inequalities

Giao Ky Duong, Thi Minh Thao Le, Phan ThÃ 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 ThÃ nh Nam

We prove an analogue of the Lieb--Thirring inequality for many-body quantum systems with the kinetic operator $\sum_{i} (- I^_{i})^{s}$ and the interaction potential of the form $\sum_i Î…

math-ph2024

Cwikel-Lieb-Rozenblum type inequalities for Hardy-SchrÃ¶dinger operator

Giao Ky Duong, Rupert L. Frank, Thi Minh Thao Le +2

We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of the Hardy-SchrÃ¶dinger operator $- I^ - (d - 2)^{2} / (4∣ x ∣^{2}) - W (x)$ on $L^{2} (R^{d})$ . The…