Abstract

We present a survey of a finite-dimensional quark model. We begin with a discussion of measurements on a quantum logic. After making the fundamental assumption that there are three basic colors, the measurement theory provides a natural embedding of the quantum logic into a finite-dimensional Hilbert space. This Hilbert space represents the space of pure quark states. Finite-dimensional quantum mechanics is discussed and the color, and flavor observables are derived. Quark and baryon Hamiltonians are proposed, and a brief description of quark field theory is given