K. Yajima

activity

20002022

most citedAbsolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator

33 citations · 120 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math-ph2018

Instability of resonances under Stark perturbations

Arne Jensen, Kenji Yajima

Let $H^{ε} = - \frac{d ^{2}}{d x ^{2}} + ε x + V$ , $ε \geq 0$ , on $L^{2} (R)$ . Let $V = \sum_{k = 1}^{N} c_{k} ∣ ψ_{k} ⟩ ⟨ ψ_{k} ∣$ be a rank $N$ operator, where the…

math.SP2018★ 29 cited

Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and $L^{p}$ -boundedness of wave operators

Horia D. Cornean, Alessandro Michelangeli, Kenji Yajima

We study the threshold behaviour of two dimensional Schr{\" o}dinger operators with finitely many local point interactions. We show that the resolvent can either be continuously ex…

Instability of resonances under Stark perturbations

Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and Lp-boundedness of wave operators

Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and $L^{p}$ -boundedness of wave operators