Article ID Journal Published Year Pages File Type
1893555 Journal of Geometry and Physics 2008 9 Pages PDF
Abstract

We consider a Schrödinger-type differential expression HV=∇∗∇+VHV=∇∗∇+V, where ∇∇ is a Hermitian connection on a Hermitian vector bundle EE over a complete Riemannian manifold (M,g)(M,g) with metric gg and positive smooth measure dμdμ, and VV is a locally integrable section of the bundle of endomorphisms of EE. We give a sufficient condition for mm-accretivity of a realization of HVHV in L2(E)L2(E).

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
,