  A model of genome evolution is proposed. Based on three assumptions the
evolutionary theory of a genome is formulated. The general law on the direction
of genome evolution is given. Both the deterministic classical equation and the
stochastic quantum equation are proposed. It is proved that the classical
equation can be put in a form of the least action principle and the latter can
be used for obtaining the quantum generalization of the evolutionary law. The
wave equation and uncertainty relation for the quantum evolution are deduced
logically. It is shown that the classical trajectory is a limiting case of the
general quantum evolution depicted in the coarse-grained time. The observed
smooth/sudden evolution is interpreted by the alternating occurrence of the
classical and quantum phases. The speciation event is explained by the quantum
transition in quantum phase. Fundamental constants of time dimension, the
quantization constant and the evolutionary inertia, are introduced for
characterizing the genome evolution. The size of minimum genome is deduced from
the quantum uncertainty lower bound. The present work shows the quantum law may
be more general than thought, since it plays key roles not only in atomic
physics, but also in genome evolution.
