Aims: The discontinuous pattern of genome size variation in angiosperms is an unsolved problem related to genome
evolution. We introduce a genome evolution operator and solve the related eigen-value equation to deduce the
Background: Genome is a well-defined system for studying evolution of species. One of the basic problems is the
genome size evolution. The DNA amounts for angiosperm species are highly variable differing over 1000-fold. One big
surprise is the discovery of the discontinuous distribution of nuclear DNA amounts in many angiosperm genera.
Objective: The discontinuous distribution of nuclear DNA amounts have certain regularity much like a group of quantum
states in atomic physics. The quantum pattern has not been explained by all the evolutionary theories so far and we shall
interpret it through the quantum simulation of genome evolution.
Methods: We have introduced a genome evolution operator H to deduce the distribution of DNA amount. The nuclear
DNA amount in angiosperms is studied from the eigen-value equation of the genome evolution operator H. The operator H
is introduced by physical simulation and it is defined as a function of the genome size N and the derivative with respective
to the size.
Results: The discontinuity of DNA size distribution and its synergetic occurrence in related angiosperms species are
successfully deduced from the solution of the equation. The results agree well with the existing experimental data of
Aloe, Clarkia, Nicotiana, Lathyrus, Allium and other genera.
Conclusion: The success of our approach may infer the existence of a set of genomic evolutionary equations satisfying
classical – quantum duality. The classical phase of evolution means it obeying classical deterministic law, while the
quantum phase means it obeying quantum stochastic law. The discontinuity of DNA size distribution provides fresh
evidence on the quantum evolution of angiosperms. People realize that the discontinuous pattern is due to the existence
of some unknown evolutionary constrains. However, our study indicates that these constrains on angiosperm genome are
essentially of quantum origin.