9 citations · 22 across the 7 of their papers we have counts for
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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…
math.SP2007★ 5 cited
Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
Grigori Rozenblum, Alexander V. Sobolev
Under a perturbation by a decaying electric potential, the Landau Hamiltonian acquires some discrete eigenvalues between the Landau levels. We study the perturbation by an "expandi…
math.SP2007★ 4 cited
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Alexander Pushnitski, Grigori Rozenblum
We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenval…