hbar-Dependent KP hierarchy

Details hbar-Dependent KP hierarchy hbar-Dependent KP hierarchy

2011-05-04

arxiv.org/abs/1105.0794v1

Physics

Mathematical Physics

12 pages, contribution to the Proceedings of the "International Workshop on Classical and Quantum Integrable Systems 2011" (Ja

Scientific paper

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.

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