Open AccessКвантование уравнения Кадомцева - Петвиашвили
Author(s) -
Карол Kajetan Козловски,
Karol K. Kozłowski,
Евгений Константинович Склянин,
E. K. Sklyanin,
Алессандро Торриелли,
Алессандро Торриелли
Publication year - 2017
Publication title -
teoretičeskaâ i matematičeskaâ fizika
Language(s) - English
Resource type - Journals
eISSN - 2305-3135
pISSN - 0564-6162
DOI - 10.4213/tmf9266
Subject(s) - computer science
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