Geodesic
Multipole Pseudopotential Method for Some Problems in Quantum Scattering
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 504-514

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

We construct a multipole pseudopotential that allows reconstructing the wave function in some problems in quantum scattering theory that are described by a nonlinear wave equation with a potential of compact support and a nonlocal boundary condition given in terms of the scattering amplitude. We establish that the structure of the wave function is completely defined by the scattering amplitude and is independent of the choice of the potential.
Mots-clés : multipole pseudopotential
Keywords: partial scattering amplitude. 
@article{TMF_2003_135_3_a10,
     author = {Yu. V. Zasorin},
     title = {Multipole {Pseudopotential} {Method} for {Some} {Problems} in {Quantum} {Scattering}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {504--514},
     publisher = {mathdoc},
     volume = {135},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a10/}
}
TY  - JOUR
AU  - Yu. V. Zasorin
TI  - Multipole Pseudopotential Method for Some Problems in Quantum Scattering
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 504
EP  - 514
VL  - 135
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a10/
LA  - ru
ID  - TMF_2003_135_3_a10
ER  - 
%0 Journal Article
%A Yu. V. Zasorin
%T Multipole Pseudopotential Method for Some Problems in Quantum Scattering
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 504-514
%V 135
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a10/
%G ru
%F TMF_2003_135_3_a10
Yu. V. Zasorin. Multipole Pseudopotential Method for Some Problems in Quantum Scattering. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 504-514. http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a10/