Orthonormal bases on $L^2({\mathbb{R}}^{+})$

Goce Chadzitaskos, Miloslav Havlíček, Jiří Patera

We derive the explicit form of eigenvectors of selfadjoint extension $H_{\xi }$, parametrized by $\xi \in ⟨0,\pi ),$ of differential expression $ H=-\frac{d^2 }{d x^2} + \frac{x^2 }{4}…