Geodesic
Path integral over branching paths
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 329-345

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

A heuristic definition is given of a Feynman path integral over branching paths. It is used to solve the Cauchy problem for the model Hartree equation in a closed form. A number of properties of the solution are derived from an integral representation. In particular, the quasiclassical asymptotic behavior, the exact solution in the Gaussian case, and the perturbation series are described. An existence theorem is proved for the simplest path integral over branching paths. 
@article{TMF_1980_45_3_a3,
     author = {V. P. Maslov and A. M. Chebotarev},
     title = {Path integral over branching paths},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {329--345},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a3/}
}
TY  - JOUR
AU  - V. P. Maslov
AU  - A. M. Chebotarev
TI  - Path integral over branching paths
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 329
EP  - 345
VL  - 45
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a3/
LA  - ru
ID  - TMF_1980_45_3_a3
ER  - 
%0 Journal Article
%A V. P. Maslov
%A A. M. Chebotarev
%T Path integral over branching paths
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 329-345
%V 45
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a3/
%G ru
%F TMF_1980_45_3_a3
V. P. Maslov; A. M. Chebotarev. Path integral over branching paths. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 3, pp. 329-345. http://geodesic.mathdoc.fr/item/TMF_1980_45_3_a3/