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
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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.
@article{TMF_1986_67_1_a4,
author = {F. A. Smirnov},
title = {Solution of quantum {Gel'fand--Levitan--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},
publisher = {mathdoc},
volume = {67},
number = {1},
year = {1986},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a4/ %G ru %F TMF_1986_67_1_a4
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/