Local scattering matrix for a degenerate avoided-crossing in the non-coupled regime

Autor: Higuchi, Kenta

A Landau-Zener type formula for a degenerate avoided-crossing is studied in the non-coupled regime. More precisely, a $2\times2$ system of first order $h$-differential operator with $\mathcal{O}(\varepsilon)$ off-diagonal part is considered in 1D. As

Externí odkaz: http://arxiv.org/abs/2306.15465

Long range scattering for the Maxwell-Schrödinger system with arbitrarily large asymptotic data

Autor: Jean Ginibre, Giorgio Velo

Publikováno v: Hokkaido Math. J. 37, no. 4 (2008), 795-811
Hokkaido Mathematical Journal
Hokkaido Mathematical Journal, 2008, 37, pp.607-623

We review the proof of existence and uniqueness of solutions of the Maxwell-Schr"odinger system in a neighborhood of infinity in time, with prescribed asymptotic behaviour defined in terms of asymptotic data, without any restriction on the size of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d44d3bd99417a968efb27f7cced8963e
https://doi.org/10.14492/hokmj/1249046369