4 papers
Landau dispersion relationship in self-consistent field theory
Stanislav Stepin
The spectral problem is studied associated with Maxwell-Boltzmann equations describing collisionless plasma. Formula for instability index is obtained and effective conditions of t…
Complex potentials: bound states, quantum dynamics and wave operators
S. A. Stepin
Schrödinger operator on half-line with complex potential and the corresponding evolution are studied within perturbation theoretic approach. The total number of eigenvalues and spe…
An upper bound for the number of eigenvalues of non-selfadjoint Schrödinger operator
S. A. Stepin
Estimates for the total multiplicity of eigenvalues for Schrödinger operator are established in the case of compactly supported or exponentially decreasing complex-valued potential…
Scattering and bound states for nonselfadjoint Schrödinger operator
S. A. Stepin
Spectral components of one-dimensional Schrödinger operator with complex potential are investigated. An effective upper bound for the total number of eigenvalues and spectral singu…