The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials

Graham Cox, Christopher K. R. T. Jones, Yuri Latushkin +1

We study the Schrödinger operator $L=-\Delta +V$ on a star-shaped domain $\Omega$ in ${\mathbb{R}}^d$ with Lipschitz boundary $\partial \Omega$. The operator is equipped with quite general Dirichlet-…