Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 192, Issue 2, Pages 1162-1183Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0040577917080074
Keywords
Kadomtsev-Petviashvili equation; quantization; Bethe ansatz; integrable model
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We propose a quantization of the Kadomtsev-Petviashvili equation on a cylinder equivalent to an infinite system of nonrelativistic one-dimensional bosons with the masses m = 1, 2,.... The Hamiltonian is Galilei-invariant and includes the split and merge terms and for all combinations of particles with masses Psi(dagger)(m1), Psi(dagger)(m2) Psi(m1+m2) and Psi(dagger)(m1+m2)Psi(m1) Psi(m2) for a special choice of coupling constants. We construct the Bethe eigenfunctions for the model and verify the consistency of the coordinate Bethe ansatz and hence the quantum integrability of the model up to the mass M=8 sector.
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