We show that the quark mixing matrix can be parametrized in exactly unitary forms with the imaginary parts present only at the order of 10. With s"=si and s"well determined, measurements of~' or other CP-nonconservation effects can determine s, s~. Then after I v"q I = s, is measured, s& is known. We also give a simple expression for the CP asymmetry in the B-B mixing.

We study the structure of the normal matrix model (NMM). We show that all correlation functions of the model with axially symmetric potentials can be expressed in terms of holomorphic functions of one variable. This observation is used to demonstrate the exact solvability of the model. The two-point correlation function is calculated in the scaling limit by solving the BBGKY 1 chain of equations. The answer is shown to be universal (i.e. potential independent up to a change of the scale). We then develop a two-dimensional free fermion formalism and construct a family of completely integrable hierarchies (which we call the extended-KP (N ) hierarchies) of non-linear differential equations. The well-known KP hierarchy is a lower-dimensional reduction of this family. The extended-KP (1) hierarchy contains the (2+1)-dimensional Burgers equations. The partition function of the (N ×N ) NMM is the τ function of the extended-KP (N ) hierarchy invariant with respect to a subalgebra of an algebra of all infinitesimal diffeomorphisms of the plane.

Two-body decays of charm mesons are analyzed in the quark-diagram scheme. Effects of SUI3) breaking and final-state interactions are included in the formulation. Various theoretical models are reviewed and tested. In this scheme, the experimental observation of DO-KO+ gives a clear signal of the W-exchange diagram. The difference in the lifetimes of D + , DO, and F + is studied in terms of two-body decays.

Two-body decays of charm mesons are analyzed in the quark-diagram formulation, including effects of SU(3) breaking and final-state interactions. Interesting future experiments are also pointed out.

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