A class of potentials for the nonstationary Dirac equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 214-226
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A class of nonstationary potentials for the massive Dirac equation in two-dimensional space -time is constructed and studied by the inverse scattering problem method. The $S$-matrix of these potentials is diagonal in the energy representation. The completeness of the wave operators is proved under certain assumptions on the potential. A reflection-free potential connected with the double soliton in the Gross–Neveu model is analyzed as an example.
@article{ZNSL_1978_77_a10,
author = {E. K. Sklyanin},
title = {A class of potentials for the nonstationary {Dirac} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {214--226},
publisher = {mathdoc},
volume = {77},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a10/}
}
E. K. Sklyanin. A class of potentials for the nonstationary Dirac equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 214-226. http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a10/