46 citations · 224 across the 37 of their papers we have counts for
4 papers · 1 filter
Wave front set for solutions to perturbed harmonic oscillators
Shikuan Mao, Shu Nakamura
We consider Schrödinger equations with variable coefficients and the harmonic potential. We suppose the perturbation is short-range type in the sense of [Nakamura 2004]. We charact…
Time-dependent scattering theory for Schrödinger operators on scattering manifolds
Kenichi Ito, Shu Nakamura
We construct a time-dependent scattering theory for Schrödinger operators on a manifold with asymptotically conic structure. We use the two-space scattering theory formalism, a…
Analytic Wave Front Set for Solutions to Schrödinger Equations II -- Long Range Perturbations
Andre' Martinez, Shu Nakamura, Vania Sordoni
This paper is a continuation of a paper by the authors: arXiv:0706.0415, where short range perturbations of the flat Euclidian metric where considered. Here, we generalize the resu…
Spectral extrema and Lifshitz tails for non monotonous alloy type models
Frédéric Klopp, Shu Nakamura
In the present note, we determine the ground state energy and study the existence of Lifshitz tails near this energy for some non monotonous alloy type models. Here, non monotonous…