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Quantization of the Kadomtsev-Petviashvili equation

Kozlowski, K, Sklyanin, E and Torrielli, Alessandro (2017) Quantization of the Kadomtsev-Petviashvili equation Theoretical and Mathematical Physics, 192 (2). pp. 259-283.

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Abstract

A quantisation of the KP equation on a cylinder is proposed that is equivalent to an infinite system of non-relativistic one-dimensional bosons carrying masses m = 1, 2, . . . The Hamiltonian is Galilei-invariant and includes the split Ψ† m1Ψ† m2Ψm1+m2 and merge Ψ† m1+m2Ψm1Ψm2 terms for all combinations of particles with masses m1, m2 and m1 + m2, with a special choice of coupling constants. The Bethe eigenfunctions for the model are constructed. The consistency of the coordinate Bethe Ansatz, and therefore, the quantum integrability of the model is verified up to the mass M = 8 sector.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Kozlowski, KUNSPECIFIEDUNSPECIFIED
Sklyanin, EUNSPECIFIEDUNSPECIFIED
Torrielli, Alessandroa.torrielli@surrey.ac.ukUNSPECIFIED
Date : 1 September 2017
Identification Number : 10.4213/tmf9266
Copyright Disclaimer : Copyright 2017 Springer Verlag. The final publication is available at Springer via http://dx.doi.org/10.4213/tmf9266
Related URLs :
Additional Information : Citation: K. K. Kozlowski, E. K. Sklyanin, A. Torrielli, “Quantization of the Kadomtsev–Petviashvili equation”, TMF, 192:2 (2017), 259–283; Theoret. and Math. Phys., 192:2 (2017), 1162–1183 Russian version: Образец цитирования: К. K. Козловски, Е. К. Склянин, А. Торриелли, “Квантование уравнения Кадомцева–Петвиашвили”, ТМФ, 192:2 (2017), 259–283; Theoret. and Math. Phys., 192:2 (2017), 1162–1183
Depositing User : Melanie Hughes
Date Deposited : 28 Jul 2017 14:41
Last Modified : 03 Aug 2017 09:47
URI: http://epubs.surrey.ac.uk/id/eprint/841786

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