33 citations · 120 across the 13 of their papers we have counts for
13 papers
The -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 for Schrödinger operators $H = -\lap + V(x)$ on are bounded in for and are unbounde…
The -boundedness of wave operators for two dimensional Schrödinger operators with threshold singularities
Kenji Yajima
We generalize the recent result of Erdo{\u g}an, Goldberg and Green on the -boundedness of wave operators for two dimensional Schrödinger operators and prove that they are bou…
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…
Instability of resonances under Stark perturbations
Arne Jensen, Kenji Yajima
Let , , on . Let be a rank operator, where the…
Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and -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…
The 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…