hbar-Dependent KP hierarchy
arXiv:1105.0794 · doi:10.1007/s11232-012-0065-y
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.
12 pages, contribution to the Proceedings of the "International Workshop on Classical and Quantum Integrable Systems 2011" (January 24-27, 2011 Protvino, Russia)