Michael Solomyak

most citedCounting Schrödinger boundstates: semiclassics and beyond

9 citations · 9 across the 2 of their papers we have counts for

collaborators

2 papers

math.SP2008

Remarks on counting negative eigenvalues of Schrödinger operator on regular metric trees

Michael Solomyak

We discuss estimates on the number $N_{-} (α)$ of negative eigenvalues of the Schrödinger operator $- Δ - α V$ on regular metric trees, as depending on the properties of the potential $V\…

math.SP2008★ 9 cited

Counting Schrödinger boundstates: semiclassics and beyond

G. Rozenblum, M. Solomyak

This is a survey of the basic results on the behavior of the number of the eigenvalues of a Schrödinger operator, lying below its essential spectrum. We discuss both fast decaying…