Difficulties with the inverse scattering transform method in quantum field theory
- 1 January 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (1) , 145-153
- https://doi.org/10.1088/0305-4470/14/1/014
Abstract
Discusses some difficulties which arise in proposals to extend the inverse scattering transform method to nonlinear quantum field theory. In particular, for the nonlinear Schrodinger equation, the author shows that the usual classical methods for obtaining the Poisson brackets of the scattering data reach an impasse if they are extended to find the commutators of the corresponding quantum operators.Keywords
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