Quantum delta-like potential acting in the $P$ state

A Schrödinger equation with delta-like potential acting in the state with $l=1$ is formulated. The solutions of this equation agree with the solutions obtained in an earlier paper [1] by a different method for arbitrary $l$. It is established that the metric in the state-vector space is positive for continuum states and negative for a bound state. Therefore, for an attractive potential a bound state should be eliminated from the state space.