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/}
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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/