hbar-Dependent KP hierarchy
Mathematical Physics
2012-06-12 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
This is a summary of a recursive construction of solutions of the hbar-dependent KP hierarchy. We give recursion relations for the coefficients X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar^2 X_2 + ... for which the dressing operator W is expressed in the exponential form W = \exp(X/\hbar). The asymptotic behaviours of (the logarithm of) the wave function and the tau function are also considered.
Keywords
Cite
@article{arxiv.1105.0794,
title = {hbar-Dependent KP hierarchy},
author = {Kanehisa Takasaki and Takashi Takebe},
journal= {arXiv preprint arXiv:1105.0794},
year = {2012}
}
Comments
12 pages, contribution to the Proceedings of the "International Workshop on Classical and Quantum Integrable Systems 2011" (January 24-27, 2011 Protvino, Russia)