3 papers
math.AP2024
Concentration of eigenfunctions on singular Riemannian manifolds
Charlotte Dietze, Larry Read
We consider a compact Riemannian manifold with boundary and a metric that is singular at the boundary. The associated Laplace-Beltrami operator is of the form of a Grushin operator…
math.SP2023
Negative spectrum of Schrödinger Operators with Rapidly Oscillating Potentials
Larry Read
For Schrödinger operators with potentials that are asymptotically homogeneous of degree , the size of the coupling determines whether it has finite or infinitely many negative…
math-ph2023
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…