This article is cited in 5 papers

Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-gordon model in the soliton sector for $\gamma=\pi/\nu$

F. A. Smirnov


Abstract: 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.

Received: 02.03.1985

 English version: Theoretical and Mathematical Physics, 1986, 67:1, 344–351

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