4 citations · 6 across the 4 of their papers we have counts for
4 papers
Weighted CLR type bounds in two dimensions
Rupert L. Frank, Ari Laptev, Larry Read
We derive weighted versions of the Cwikel-Lieb-Rozenblum inequality for the Schrödinger operator in two dimensions with a nontrivial Aharonov-Bohm magnetic field. Our bounds captur…
Lieb-Thirring type bounds for perturbed Schrödinger operators with single-well potentials
Larry Read
We prove an upper bound on the sum of the distances between the eigenvalues of a perturbed Schrödinger operator and the lowest eigenvalue of . Our results hold for ope…
Logarithmic Schrödinger Equations in Infinite Dimensions
Larry Read, Boguslaw Zegarlinski, Mengchun Zhang
We study the logarithmic Schrödinger equation with finite range potential on . Through a ground-state representation, we associate and construct a global…
Calogero type bounds in two dimensions
Ari Laptev, Larry Read, Lukas Schimmer
For a Schrödinger operator on the plane with electric potential and Aharonov--Bohm magnetic field we obtain an upper bound on the number of its negative eigenval…