28 citations · 68 across the 8 of their papers we have counts for
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Pseudospectra of the Schroedinger operator with a discontinuous complex potential
Raphael Henry, David Krejcirik
We study spectral properties of the Schroedinger operator with an imaginary sign potential on the real line. By constructing the resolvent kernel, we show that the pseudospectra of…
On the semi-classical analysis of Schrödinger operators with purely imaginary electric potentials in a bounded domain
Raphaël Henry
In this paper, we describe the leftmost eigenvalue of the non-selfadjoint operator with Dirichlet boundary conditions on a smooth bounded domain $Ω\su…
Spectral projections of the complex cubic oscillator
Raphaël Henry
We prove the spectral instability of the complex cubic oscillator for non-negative values of the parameter , by getting the exponential growth rate…
Spectral instability of some non-selfadjoint anharmonic oscillators
Raphaël Henry
The purpose of this Note is to highlight the spectral instability of some non-selfadjoint differential operators, by studying the growth rate of the norms of the spectral projectio…
Spectral instability for even non-selfadjoint anharmonic oscillators
Raphaël Henry
We study the instability of the spectrum for a class of non-selfadjoint anharmonic oscillators, estimating the behavior of the instability indices (i. e. the norm of spectral proje…