abstract: We describe a relation between the Morse index and the Maslov index for the matrix valued Schr\"odinger operator on a multidimensional star-shaped domain. We pay a special attention to relations with the Dirichlet-to-Neumann and Neumann-to-Dirichlet maps, and to the weak Neumann trace operators. This is a joint work with G. Cox, C. Jones, Y. Latushkin.
SUKHTAIEV -- Lecture notes