Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 40-51
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F. A. Smirnov. Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-gordon model in the soliton sector for $\gamma=\pi/\nu$. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 40-51. http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a4/
@article{TMF_1986_67_1_a4,
author = {F. A. Smirnov},
title = {Solution of quantum {Gel'fand{\textendash}Levitan{\textendash}Marchenko} equations for the sine-gordon model in the soliton sector for $\gamma=\pi/\nu$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {40--51},
year = {1986},
volume = {67},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a4/}
}
TY - JOUR
AU - F. A. Smirnov
TI - Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-gordon model in the soliton sector for $\gamma=\pi/\nu$
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1986
SP - 40
EP - 51
VL - 67
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a4/
LA - ru
ID - TMF_1986_67_1_a4
ER -
%0 Journal Article
%A F. A. Smirnov
%T Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-gordon model in the soliton sector for $\gamma=\pi/\nu$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 40-51
%V 67
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a4/
%G ru
%F TMF_1986_67_1_a4
The solutions of the quantum Gel' fand–Levitan–Marehenko equations for the sine-Gordon model are studied in the sector containing solitons. The case $\gamma=\pi/\nu$ ($\nu$ integer), when there is no soliton reflection, is considered. A recursive procedure for constructing solutions is obtained, and examples in sectors containing a small number of solitons are considered.
