A vanishing theorem in $K$-theory for spectral projections of a non-periodic magnetic Schrödinger operator

Yuri A. Kordyukov, Vladimir M. Manuilov

We consider the Schrödinger operator $H(\mu )={\nabla }_{\mathbf{A}}^{\ast }{\nabla }_{\mathbf{A}}+\mu V$ on a Riemannian manifold $M$ of bounded geometry, where $\mu >0$ is a coupling parameter, the magneti…