一大类势下具有退化动能的薛定谔型算子的弱耦合极限
数学物理
2023-03-13 v2 math.MP
谱理论
摘要
我们改进了 Frank、Hainzl、Naboko 和 Seiringer [12] 以及 Hainzl 和 Seiringer [20] 关于动能在一余维子流形上消失的薛定谔型算子特征值弱耦合极限的结果。使我们能够超越 [12, 20] 中所考虑势的主要技术创新是使用了 Tomas-Stein 定理。
引用
@article{arxiv.2006.07110,
title = {Weak coupling limit for Schr\"odinger-type operators with degenerate kinetic energy for a large class of potentials},
author = {Jean-Claude Cuenin and Konstantin Merz},
journal= {arXiv preprint arXiv:2006.07110},
year = {2023}
}
备注
27 pages. Title changed, corrected misprints, included further details in some proofs, carried out some extensions of the main result (more general kinetic energies, second order in the asymptotics, improvements for potentials with further symmetries). This is a preprint of an article published in Letters in Mathematical Physics, available online at https://doi.org/10.1007/s11005-021-01385-2