Evgeny Korotyaev

most citedSchrödinger operator with a junction of two 1-dimensional periodic potentials

19 citations · 28 across the 5 of their papers we have counts for

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math-ph2005★ 3 cited

The inverse problem for perturbed harmonic oscillator on the half-line

Dmitry Chelkak, Evgeny Korotyaev

We consider the perturbed harmonic oscillator $T_{D} ψ = - ψ^{''} + x^{2} ψ + q (x) ψ$ , $ψ (0) = 0$ in $L^{2} (R_{+})$ , where $q \in H_{+} = {q^{'}, x q \in L^{2} (R_{+})}$ is a real-valued potential. We prove that the…

math-ph2003

Spectral asymptotics of harmonic oscillator perturbed by bounded potential

M. Klein, E. Korotyaev, A. Pokrovski

Consider the operator $T = - d^{2} d x^{2} + x^{2} + q (x)$ in $L^{2} (R)$ , where real functions $q$ , $q^{'}$ and $\int_{0}^{x} q (s) d s$ are bounded. In particular, $q$ is periodic or almost perio…