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VOL. 16 | 1987 Harmonic analysis of the quantum nonlinear Schrödinger equation
Eugene Gutkin

Editor(s) Michael Cowling, Christopher Meaney, William Moran


The Hamiltonian of the quantum nonlinear Schrodinger equation is a selfadjoint operator on Fock space whose eigenstates are given by the Bethe Ansatz. The quantum inverse scattering method of the physics literature introduced two families of operators which have been claimed to satisfy important properties. Operators of one family are diagonal on the Bethe Ansatz eigenstates, while the other family creates the Bethe Ansatz eigenstates. In the present work we examine these operators. VVe establish some of the claims and show the inconsistency of others.


Published: 1 January 1987
First available in Project Euclid: 18 November 2014

MathSciNet: MR953988

Rights: Copyright © 1987, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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