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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1986 Volume 66, Number 3, Pages 455–462 (Mi tmf4641)

This article is cited in 7 papers

Quantum nonlinear Schrödinger equation on a lattice

N. M. Bogolyubov, V. E. Korepin


Abstract: 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.

Received: 23.07.1985


 English version:
Theoretical and Mathematical Physics, 1986, 66:3, 300–305

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