Geodesic
Energy levels of an oscillator with singular concentrated potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 321-324 Cet article a éte moissonné depuis la source Math-Net.Ru

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The algebra of generalized functions constructed earlier by Shirokov is used to solve the Schrödinger equation for a harmonic oscillator on which a singular concentrated potential acts. The small corrections to the energy levels due to this potential are obtained. 
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O. G. Goryaga; Yu. M. Shirokov. Energy levels of an oscillator with singular concentrated potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 321-324. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a5/

[1] Shirokov Yu. M., “Algebry odnomernykh obobschennykh funktsii”, TMF, 39:3 (1979), 291–301 | MR | Zbl

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

[3] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR