Spectral properties of non-selfadjoint extensions of the Calogero Hamiltonian

Abstract

We describe all extensions of the Calogero Hamiltonian \[L=-\frac{d^2}{dr^2}+\frac{b}{r^2} \quad \text{in}\ L^2(\mathbb{R}_+), \quad b <-\frac{1}{4}\] having non empty resolvent and generating an analytic semigroup in $L^2({\mathbb{R}}_{+})$.

15 pages

References in corpus (1)

• An elementary proof of asymptotic behavior of solutions of $u"=Vu$