Quantum version of the method of inverse scattering problem
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part III, Tome 95 (1980), pp. 55-128
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This paper is a developed and consecutive account of a quantum version of the method of the inverse scattering problem on the example of the nonlinear Schrödinger equation. The method of $R$-matrices developed by the author is given basic consideration. The generating functions of quantum integrals of motion and action-angle variables for the quantum nonlinear Schrцdinger equation are obtained. There is also described a classical version of the method of $R$-matrices.
@article{ZNSL_1980_95_a1,
author = {E. K. Sklyanin},
title = {Quantum version of the method of inverse scattering problem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {55--128},
publisher = {mathdoc},
volume = {95},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_95_a1/}
}
E. K. Sklyanin. Quantum version of the method of inverse scattering problem. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part III, Tome 95 (1980), pp. 55-128. http://geodesic.mathdoc.fr/item/ZNSL_1980_95_a1/