On the two-dimensional Coulomb-like potential with a central point interaction

P. Duclos, P. Stovicek, M. Tusek

In the first part of the paper, we introduce the Hamiltonian $-\Delta -Z/\sqrt{x^2+y^2}$, Z>0, as a selfadjoint operator in $L^2(R^2)$. A general central point interaction combined with…