7. Spectra of “fattened” open book structures
7. Spectra of “fattened” open book structures
We establish convergence of spectra of Neumann Laplacian in a thin neighborhood of a branching 2D structure in 3D to the spectrum of an appropriately defined operator on the structure itself. This operator is a 2D analog of the well known, by now, quantum graphs. As in the latter case, …