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arXiv · 1405.5660

Spectral properties of non-selfadjoint extensions of the Calogero Hamiltonian

G. Metafune·M. Sobajima
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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 $L^2(\mathbb{R}_+)$.

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G. Metafune, M. Sobajima. 2014-05-22. Spectral properties of non-selfadjoint extensions of the Calogero Hamiltonian. https://doi.org/10.1619/fesi.59.123

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