Geodesic
Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 393-410

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

We generalize our previously developed packet continuum discretization method to take the long-range Coulomb repulsion in the charged-particle interaction into account. We derive an analytic finite-dimensional approximation for the exact Coulomb resolvent in the basis of stationary Coulomb wave packets. In the suggested approach, determining the so-called additional partial scattering phase shifts that appear because of the additional short-range interaction reduces to simple matrix algebra, and the related calculations can be performed using an arbitrary complete $L_2$ basis.
Keywords: quantum scattering theory, wave packets, continuum discretization, computational methods. 
@article{TMF_2005_145_3_a6,
     author = {V. I. Kukulin and O. A. Rubtsova},
     title = {Solving the {Charged-Particle} {Scattering} {Problem} by {Wave} {Packet} {Continuum} {Discretization}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--410},
     publisher = {mathdoc},
     volume = {145},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a6/}
}
TY  - JOUR
AU  - V. I. Kukulin
AU  - O. A. Rubtsova
TI  - Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 393
EP  - 410
VL  - 145
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a6/
LA  - ru
ID  - TMF_2005_145_3_a6
ER  - 
%0 Journal Article
%A V. I. Kukulin
%A O. A. Rubtsova
%T Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 393-410
%V 145
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a6/
%G ru
%F TMF_2005_145_3_a6
V. I. Kukulin; O. A. Rubtsova. Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 393-410. http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a6/