Geodesic
Scattering characteristics of a diffraction problem on a wedge and on a screen
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 193-197 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Explicit formulae for wave operators are given and the completeness of the operators is established for a class of boundary conditions. It ia shown that modified (taking the reflection into account) scattering matrix is a unitary operator with a pure point spectrum. Ordinary $S$-matrix is a unitary operator for a screen. Under the Dirichlet (Neumann) boundary condition $S$-matrix is diagonalized explicitly. The simple absolutely continuous spectrum of $S$-matrix contains a lower (upper) semicircumference. 
@article{ZNSL_1982_107_a13,
     author = {E. M. Il'in},
     title = {Scattering characteristics of a~diffraction problem on a~wedge and on a~screen},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {193--197},
     year = {1982},
     volume = {107},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/}
}
TY  - JOUR
AU  - E. M. Il'in
TI  - Scattering characteristics of a diffraction problem on a wedge and on a screen
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1982
SP  - 193
EP  - 197
VL  - 107
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/
LA  - ru
ID  - ZNSL_1982_107_a13
ER  - 
%0 Journal Article
%A E. M. Il'in
%T Scattering characteristics of a diffraction problem on a wedge and on a screen
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 193-197
%V 107
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/
%G ru
%F ZNSL_1982_107_a13
E. M. Il'in. Scattering characteristics of a diffraction problem on a wedge and on a screen. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 193-197. http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a13/