On m-accretive Schrodinger-type operators with singular potentials on Riemannian manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:58

Article

Milatovic, Ognjen

关键词: m-accretive operator;    Riemannian manifold;    Schrodinger operator;    singular potential;   

DOI  :  10.1016/j.geomphys.2007.11.008

来源: Elsevier

【 摘 要 】

We consider a Schrodinger-type differential expression H-V = del*del + V, where del is a Hermitian connection on a Hermitian vector bundle E over a complete Riemannian manifold (M, g) with metric g and positive smooth measure d mu, and V is a locally integrable section of the bundle of endomorphisms of E. We give a sufficient condition for m-accretivity of a realization of H-V in L-2(E). (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free