Geodesic
Quantum delta-like potential acting in the $P$ state
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 310-315 
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/
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     title = {Quantum delta-like potential acting in the $P$~state},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Shirokov Yu. M., “Predstavlenie svobodnykh reshenii dlya uravnenii Shredingera s silno singulyarnymi sosredotochennymi potentsialami”, TMF, 46:3 (1980), 291–299 | MR

[2] Shirokov Yu. M., “Silno singulyarnye potentsialy v odnomernoi kvantovoi mekhanike”, TMF, 41:3 (1979), 291–302 | MR | Zbl

[3] Shirokov Yu. M., “Silno singulyarnye potentsialy v trekhmernoi kvantovoi mekhanike”, TMF, 42:1 (1980), 45–52 | MR

[4] Shirokov Yu. M., “Algebra trekhmernykh obobschennykh funktsii”, TMF, 40:3 (1979), 348–352 | MR