无限图上向量丛薛定谔算子的极大耗散扩张
数学物理
2014-12-08 v2 泛函分析
math.MP
谱理论
摘要
给定无限加权图上的一个 Hermite 向量丛，我们定义了该丛上酉联络关联的 Laplacian，并研究了该 Laplacian 经算子值势扰动后的本质自伴性。此外，我们给出了一个充分条件，使得生成的 Schrödinger 算子可作为相应 -空间中强连续压缩半群的生成元。
引用
@article{arxiv.1307.1213,
title = {Maximal accretive extensions of Schr\"odinger operators on vector bundles over infinite graphs},
author = {Ognjen Milatovic and Francoise Truc},
journal= {arXiv preprint arXiv:1307.1213},
year = {2014}
}
备注
We have made significant revisions of the previous version. In particular, this version has a new title: "Maximal Accretive Extensions of Schr\"odinger Operators on Vector Bundles over Infinite Graphs." The final version will appear in Integral Equations and Operator Theory and will be availableat Springer via http://dx.doi.org/10.1007/s00020-014-2196-z