Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian

MR Giorgio METAFUNE and Motohiro SOBAJIMA Giorgio METAFUNE and Motohiro SOBAJIMA Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian Funkcialaj Ekvacioj. Serio Internacia 59 2016 123--140 http://fe.math.kobe-u.ac.jp/FE/FullPapers/59-1/59_123.pdf http://www.ams.org/mathscinet-getitem?mr=MR We describe all extensions of the Calogero Hamiltonian $L=-d^2/dr^2+b/r^2$ in $L^2(\mathbf{R}_+)$, $b<-1/4$ having non empty resolvent set and generating an analytic semigroup in $L^2(\mathbf{R}_+)$. Calogero Hamiltonian, Non-selfadjoint extensions, Spectral properties, Analytic semigroups. Primary 34L40; Secondary 47D06, 35P05. 59-123 2016 Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian Giorgio METAFUNE and Motohiro SOBAJIMA Giorgio METAFUNE and Motohiro SOBAJIMA 1 Abramowitz, M.; Stegun, I. A. Handbook of mathematical functions with formulas, graphs, and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, U.S. Government Printing Office Washington, D.C. 1964 MR0167642

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