Finite-zone almost periodic solutions in WKB-approximations

It is shown that the recently discovered finite-zone, almost-periodic solutions may, on the one hand, serve as the foundation for the development of the multiphase WKB method in nonlinear equations (the method of Whitham) and, on the other hand, serve to define Lagrangian manifolds with complex germs which can be (second) quantized in the quasiclassical approximation.