Geodesic
Constructive scattering theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 1, pp. 15-24

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a problem of factoring the scattering matrix for Schrödinger equation on the real axis. We find the elementary factorization blocks in both the finite and infinite cases and establish a relation to the matrix conjugation problem. We indicate a general scheme for constructing a large class of scattering matrices admitting a quasirational factorization.
Keywords: scattering theory, model equation, factorization
Mots-clés : quasirational solution. 
@article{TMF_2017_193_1_a1,
     author = {A. B. Shabat},
     title = {Constructive scattering theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {15--24},
     publisher = {mathdoc},
     volume = {193},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_1_a1/}
}
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A. B. Shabat. Constructive scattering theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 1, pp. 15-24. http://geodesic.mathdoc.fr/item/TMF_2017_193_1_a1/