Geodesic
$S$-matrix problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 2, pp. 169-180

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It is proved that the approximate solution of the one-dimensional Schrödinger equation, obtained by replacing the potential by a step function, leads to the study of a multiplicative integral, for the analysis of which a graphical method is developed. A parametrization of the $S$-matrix in terms of Euler angles is used in a study of the transmission of waves through a force field, and a relation is established between the solution of the equation and Lobachevskii geometry. 
@article{TMF_1970_2_2_a1,
     author = {V. A. Kolkunov},
     title = {$S$-matrix problems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {169--180},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_2_a1/}
}
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V. A. Kolkunov. $S$-matrix problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 2, pp. 169-180. http://geodesic.mathdoc.fr/item/TMF_1970_2_2_a1/