Some analogies between Schroedinger and Laplace-Beltrami spectral analysis

The talk will present some results about Laplace-Beltrami operators on complete manifolds with corner of codimension two obtained by adapting methods coming from the spectral analysis of Schroedinger operators. We will outline also possible research projects that exploit in similar ways analogies between Schroedinger and Laplace-Beltrami operators.