On Self-Adjointness Of 1-D Schrödinger Operators With $\delta$-Interactions

I. I. Karpenko, D. L. Tyshkevich

In the present work we consider in $L^2({\mathbb{R}}_{+})$ the Schrödinger operator ${\mathrm{H}}_{\mathrm{X},\alpha }=-\frac{{\mathrm{d}}^2}{\mathrm{d}{\mathrm{x}}^2}+{\sum }_{n=1}^{\infty }{\alpha }_n\delta (x-x_n)$. We investigate and com…