Solutions of one-dimensional Schr\"odinger equation with hardy-type potential. The $S$-matrix formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 380-387
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A general method is developed for investigating the solutions of the scattering problem for the one-dimensional SchrSdinger equation with Hardy potential. The method uses the formalism of stationary scattering theory. In the quasiclassical and wave (anticlassical) approximations, calculations are made of the amplitude of reflection of particles from a potential with Hardy function describing Bragg scattering of shortwavelength radiation on static elastic distortions of dislocation type in a crystal lattice.
@article{TMF_1979_38_3_a9,
author = {A. M. Arustamyan and V. L. Vergasov and F. N. Chukhovskii},
title = {Solutions of one-dimensional {Schr\"odinger} equation with hardy-type potential. {The} $S$-matrix formalism},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {380--387},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a9/}
}
TY - JOUR AU - A. M. Arustamyan AU - V. L. Vergasov AU - F. N. Chukhovskii TI - Solutions of one-dimensional Schr\"odinger equation with hardy-type potential. The $S$-matrix formalism JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 380 EP - 387 VL - 38 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a9/ LA - ru ID - TMF_1979_38_3_a9 ER -
%0 Journal Article %A A. M. Arustamyan %A V. L. Vergasov %A F. N. Chukhovskii %T Solutions of one-dimensional Schr\"odinger equation with hardy-type potential. The $S$-matrix formalism %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 380-387 %V 38 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a9/ %G ru %F TMF_1979_38_3_a9
A. M. Arustamyan; V. L. Vergasov; F. N. Chukhovskii. Solutions of one-dimensional Schr\"odinger equation with hardy-type potential. The $S$-matrix formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 3, pp. 380-387. http://geodesic.mathdoc.fr/item/TMF_1979_38_3_a9/