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Quantisation of Kadomtsev-Petviashvili equation

Kozlowski, KK, Sklyanin, E and Torrielli, A (2016) Quantisation of Kadomtsev-Petviashvili equation [Working Paper]

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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: Working Paper
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kozlowski, KKUNSPECIFIEDUNSPECIFIED
Sklyanin, EUNSPECIFIEDUNSPECIFIED
Torrielli, AUNSPECIFIEDUNSPECIFIED
Date : 26 July 2016
Copyright Disclaimer : Copyright 2016 The Authors. This is an arXiv version of the paper.
Uncontrolled Keywords : Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 14 Mar 2017 08:56
Last Modified : 14 Mar 2017 08:56
URI: http://epubs.surrey.ac.uk/id/eprint/813764

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