Oleg Safronov
Eigenvalue estimates for the perturbed Andersson model
(219K, pdf)

ABSTRACT.  Consider the operator 
$$ 
H=-\Delta+p_\omega-V, 
$$ 
where $p_\omega$ is the potential of the Andersson type and $V\geq0$ is a function that decays slowly at the infinity. We study the rate of accumulation of eigenvalues of $H$ to the bottom of the essential spectrum.