A. Laptev

collaborators

2 papers

math.SP2012

On spectral estimates for two-dimensional Schrödinger operators

A. Laptev, M. Solomyak

For a two-dimensional Schrödinger operator $H_{α V} = - Δ - α V, V \geq 0,$ we study the behavior of the number $N_{-} (H_{α V})$ of its negative eigenvalues (bound states), as the coupling pa…

math.SP2011

On the negative spectrum of two-dimensional Schrödinger operators with radial potentials

Ari Laptev, Michael Solomyak

For a two-dimensional Schrödinger operator $H_{α V} = - Δ - α V$ with the radial potential $V (x) = F (∣ x ∣), F (r) \geq 0$ , we study the behavior of the number $N_{-} (H_{α V})$ of its negative eige…