On the quantum KP hierarchy and its relation to the non-linear Schrödinger equation
arXiv:hep-th/9208013 · doi:10.1016/0370-2693(92)90089-M
Abstract
We establish a relation between the classical non-linear Schrödinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy. We present evidence that an integrable hierarchy of equations is obtained by quantizing the first Hamiltonian structure of the KdV equation. The connection between infinite-dimensional algebras and integrable models is discussed.
16 pages, KCL-TH-92-2