  The self-adjoint extension (SAE) procedure is considered in the Schrodinger
equation for potentials behaving as an attractive inverse square at the origin
of coordinates. This approach guarantees self-adjointness of the radial
Hamiltonian in three dimensions. It is shown that the single bound state
appears after such an extension, which depends on SAE parameter. The same
parameter arises for the scattering case as well, when the extension is made by
orthogonality requirement. The closed form is derived for the modified
scattering amplitude, which consists an extra factor depended on the SAE
parameter. That guarantees the appearance of the same bound state in the form
of the scattering amplitude pole. So, the generalization of pragmatic method is
demonstrated in case of continuous spectrum.
