Oleg Safronov

Absolutely continuous spectrum of a one-parameter family of Schrödinger operators

We consider a family of operators

Bound State Asymptotics for Elliptic Operators with Strongly Degenerated Symbols

-\Delta+ t V

Absolutely continuous spectrum of a class of random nonergodic Schrodinger operators

with a slowly decaying and oscillating potential

The amount of discrete spectrum of a perturbed periodic Schrödinger operator inside a fixed interval (λ1,λ2)

V

Absolutely continuous spectrum of a typical operator on a cylinder

. We prove that the absolutely continuous spectrum of this operator is essentially supported by

Eigenvalue Estimates for Schrödinger Operators with Complex Potentials

[0,\infty)

On the Absolutely Continuous Spectrum of Multi-Dimensional Schrodinger Operators with Slowly Decaying Potentials

for almost every

On a sum rule for Schrödinger operators with complex potentials

t

On the number of eigenvalues of Schrödinger operators with complex potentials

.

Absolutely continuous spectrum of one random elliptic operator

We study the rate of accumulation of eigenvalues at the edge of the essential spectrum of Schrodinger-type operators \( {\left| {P\left( {i\nabla } \right)} \right|^{\gamma }} - V(x) \) — V(x), where γ is a positive number, on L2(ℝ d ) in the case where the kinetic energy strongly degenerates at some nontrivial minimal Fermi surface P(ξ) = 0.