25 citations · 84 across the 16 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math-ph2022★ 7 cited
The Scott conjecture for large Coulomb systems: a review
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in natur…
math-ph2022
On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy
Jean-Claude Cuenin, Konstantin Merz
We estimate sums of functions of negative eigenvalues of Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. Our main technical tool is the S…
math.SP2022
Random Schrödinger operators with complex decaying potentials
Jean-Claude Cuenin, Konstantin Merz
We prove that the eigenvalues of a continuum random Schrödinger operator of Anderson type, with complex decaying potential, can be bounded (with high probability) in term…