Geodesic
Quantum delta-like potential acting in the $P$~state
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 310-315

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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. 
@article{TMF_1981_46_3_a3,
     author = {I. S. Tsirova and Yu. M. Shirokov},
     title = {Quantum delta-like potential acting in the $P$~state},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {310--315},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a3/}
}
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I. S. Tsirova; Yu. M. Shirokov. Quantum delta-like potential acting in the $P$~state. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 310-315. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a3/