Short-range potential and a model of operator extension theory for resonators with semitransparent boundary

On the basis of operator extension theory, a model of the quantum point is constructed as a resonator with semitransparent boundary. It is proved that the model operator is the limit (in the resolvent sense) of short-range Hamiltonians. Translated fromMatematicheskie Zametki, Vol. 65, No. 5, pp. 703–711, May, 1999.