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arXiv · hep-th/9208013

On the quantum KP hierarchy and its relation to the non-linear Schrödinger equation

M. D. Freeman·P. West
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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.

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M. D. Freeman, P. West. 1992-08-04. On the quantum KP hierarchy and its relation to the non-linear Schrödinger equation. https://doi.org/10.1016/0370-2693(92)90089-m

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