K. Yajima

activity

20202025

most citedA solvable model of the breakdown of the adiabatic approximation

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 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.AP2024

Boundedness of energy for N-body Schrödinger equations with time dependent small potentials

Kenji Yajima

We prove that Sobolev norms of solutions to time dependent Schrödinger equations for $d$ -dimensional $N$ -partcles interacting via time dependent two body potentials are bounded in…

math-ph2023

The $L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators on $R^{4}$

Artbazar Galtbayar, Kenji Yajima

We prove that the wave operators of scattering theory for the fourth order Schrödinger operators $Δ^{2} + V (x)$ in $R^{4}$ are bounded in $L^{p} (R^{4})$ for the set of…

math-ph2020★ 2 cited

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

Boundedness of energy for N-body Schrödinger equations with time dependent small potentials

The Lp-boundedness of wave operators for fourth order Schrödinger operators on R4

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

The $L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators on $R^{4}$