arXiv subjects

Sergey Tumanov

Publications and source records attributed to Sergey Tumanov.

2 recordsLinked to original sources

arXiv2021

Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator $\mathscr{L}_c=-d^2/dx^2+cx^α$

The completeness of the system of eigenfunctions of the complex Schrödinger operator $\mathscr{L}_c=-d^2/dx^2+cx^α$ on the semi-axis with Dirichlet boundary conditions is proved for $α\in(0,2)$ and $|\arg c|<2πα/(α+2)+Δt(α)$ with some $Δt(α)>0$.

math.SP↗

arXiv2019

Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator $L=-d^2/dx^2+cx^{2/3}$

We prove the completeness of the system of eigenfunctions of the complex Schrödinger operator $L=-d^2/dx^2+cx^{2/3}$ on the semiaxis in $L_2(0,+\infty)$ with Dirichlet boundary conditions for all $c$: $|\arg c|<π/2+θ_0$, where $θ_0\in(π/10,π/9)$ is defined as the only solution of a certain transcendental equation.

math.FA↗