Rupert L. Frank

collaborators

3 papers

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…

math.FA2024

Endpoint Schatten class properties of commutators

Rupert L. Frank, Fedor Sukochev, Dmitriy Zanin

We study trace ideal properties of the commutators $[(- I^)^{\frac{I ^}{µ} 2}, M_{f}]$ of a power of the Laplacian with the multiplication operator by a function $f$ on $R^{d}$ . For a…

math-ph2024

Lieb-Thirring inequality for the 2D Pauli operator

Rupert L. Frank, Hynek KovaÅÃk

By the Aharonov-Casher theorem, the Pauli operator $P$ has no zero eigenvalue when the normalized magnetic flux $I^\pm$ satisfies $∣ I^\pm ∣ < 1$ , but it does have a zero energy resonance. W…