K. Yajima

collaborators

2 papers

math-ph2025

The $L^{p}$ -boundedness of wave operators for 4-th order Schrödinger operators on $R^{2}$ , I. Regular case

Artbazar Galtbayar, Kenji Yajima

We prove that wave operators of scattering theory for fourth order Schrödinger operators $H = Δ^{2} + V (x)$ on $R^{2}$ with real potentials $V (x)$ such that $\langle x \rangl…

math-ph2020

A solvable model of the breakdown of the adiabatic approximation

Artbazar Galtbayar, Arne Jensen, Kenji Yajima

Let $L \geq 0$ and $0 < ε ≪ 1$ . Consider the following time-dependent family of $1 D$ Schrödinger equations with scaled and translated harmonic oscillator potentials $ i\varep…

The Lp-boundedness of wave operators for 4-th order Schrödinger operators on R2, I. Regular case

A solvable model of the breakdown of the adiabatic approximation

The $L^{p}$ -boundedness of wave operators for 4-th order Schrödinger operators on $R^{2}$ , I. Regular case