2 papers
math-ph2024
Two-sided Lieb-Thirring bounds
Sven Bachmann, Richard Froese, Severin Schraven
We prove upper and lower bounds for the number of eigenvalues of semi-bounded Schrödinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the…
math.SP2023
The Howland-Kato Commutator Problem II
Richard Froese, Ira Herbst
We continue the search, begun by Kato, for all pairs of real, bounded, measurable functions that result in a positive commutator . We prove a number of part…