Quantum nonlinear Schr\"odinger equation on a~lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 455-462
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A local Hamiltonian is constructed for the nonlinear Schrödinger equation on a lattice in
both the classical and the quantum variants. This Hamiltonian is an explicit elementary
function of the local Bose fields. The lattice model possesses the same structure of
the action–angle variables as the continuous model.
@article{TMF_1986_66_3_a11,
author = {N. M. Bogolyubov and V. E. Korepin},
title = {Quantum nonlinear {Schr\"odinger} equation on a~lattice},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {455--462},
publisher = {mathdoc},
volume = {66},
number = {3},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a11/}
}
TY - JOUR AU - N. M. Bogolyubov AU - V. E. Korepin TI - Quantum nonlinear Schr\"odinger equation on a~lattice JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 455 EP - 462 VL - 66 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a11/ LA - ru ID - TMF_1986_66_3_a11 ER -
N. M. Bogolyubov; V. E. Korepin. Quantum nonlinear Schr\"odinger equation on a~lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 455-462. http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a11/