Geodesic
Strongly singular potentials in one-dimensional quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 291-302

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The algebra of one-dimensional generalized functions constructed in the author's earlier [1] is used to develop a general method for obtaining one-dimensional Schrödinger equations with strongly singular concentrated potentials and with positive-definite metric. Examples of exact solutions to such equations are given for both reuormalizable and nonrenormalizable potentials. 
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     author = {Yu. M. Shirokov},
     title = {Strongly singular potentials in one-dimensional quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {41},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/}
}
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Yu. M. Shirokov. Strongly singular potentials in one-dimensional quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 291-302. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/