1-D Schrödinger operator on a star graph with nondefinite weight function

Edison Leguizamón, Carsten Trunk, Mitsuru Wilson +1

On a star graph $G$ with $n=n_{+}+n_{-}$ edges of unit length, we study the operator $-\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}$ on $n_{+}$ and $\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}$ on $n…