On resonance properties of scattering amplitude for Schrödinger equation with trapping potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 214-232 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper a mathematical proof is presented for the fact that the resonance amplitude suffers a jump in the neighborhood of a resonance energy level.
@article{TMF_1995_104_2_a1,
     author = {A. A. Arsen'ev},
     title = {On resonance properties of scattering amplitude for {Schr\"odinger} equation with trapping potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {214--232},
     year = {1995},
     volume = {104},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a1/}
}
TY  - JOUR
AU  - A. A. Arsen'ev
TI  - On resonance properties of scattering amplitude for Schrödinger equation with trapping potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 214
EP  - 232
VL  - 104
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a1/
LA  - ru
ID  - TMF_1995_104_2_a1
ER  - 
%0 Journal Article
%A A. A. Arsen'ev
%T On resonance properties of scattering amplitude for Schrödinger equation with trapping potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 214-232
%V 104
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a1/
%G ru
%F TMF_1995_104_2_a1
A. A. Arsen'ev. On resonance properties of scattering amplitude for Schrödinger equation with trapping potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 214-232. http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a1/

[1] Arsenev A. A., TMF, 1:1 (1969), 120–136 | MR

[2] Arsenev A. A., Singulyarnye potentsialy i rezonansy, MGU, M., 1974 | MR

[3] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, IL, M., 1962 | MR

[4] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl