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

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11 papers · 1 filter

math-ph2022

The $L^{p}$ -boundedness of wave operators for four dimensional Schrödinger operators with threshold resonances

Kenji Yajima

We prove that the low energy parts of the wave operators $W_{\pm}$ for Schrödinger operators $H = -\lap + V(x)$ on $R^{4}$ are bounded in $L^{p} (R^{4})$ for $1 < p \leq 2$ and are unbounde…

math-ph2019★ 3 cited

On the approximation by regular potentials of Schrödinger operators with point interactions

Artbazar Galtbayar, Kenji Yajima

We prove that the wave operators for Schrödinger operators with multi-center local point interactions are the scaling limits of the ones for Schrödinger operators with regular pote…

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-ph2017★ 21 cited

The $L^{p}$ boundedness of wave operators for the three-dimensional multi-centre point interaction

Gianfausto Dell'Antonio, Alessandro Michelangeli, Raffaele Scandone +1

We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schrödinger operators with multi-centre local point interactions are bounded in $L^p(\m…

math-ph2016★ 4 cited

On wave operators for Schrödinger operators with threshold singuralities in three dimensions

Kenji Yajima

We show that wave operators for three dimensional Schrödinger operators $H = - Δ + V$ with threshold singularities are bounded in $L^{1} (R^{3})$ if and only if zero energy resona…

math-ph2016★ 1 cited

Remarks on $L^{p}$ -boundedness of wave operators for Schrödinger operators with threshold singularities

Kenji Yajima

We consider the continuity property in Lebesgue spaces $L^{p} (R^{m})$ of wave operators $W_{\pm}$ of scattering theory for Schrödinger operator $H=-\lap + V$ on $R^{m}$ , $|V(x)|\leq C\ax…

The Lp-boundedness of wave operators for four dimensional Schrödinger operators with threshold resonances

On the approximation by regular potentials of Schrödinger operators with point interactions

Instability of resonances under Stark perturbations

The Lp boundedness of wave operators for the three-dimensional multi-centre point interaction

On wave operators for Schrödinger operators with threshold singuralities in three dimensions

Remarks on Lp-boundedness of wave operators for Schrödinger operators with threshold singularities

The $L^{p}$ -boundedness of wave operators for four dimensional Schrödinger operators with threshold resonances

The $L^{p}$ boundedness of wave operators for the three-dimensional multi-centre point interaction

Remarks on $L^{p}$ -boundedness of wave operators for Schrödinger operators with threshold singularities