  Retardation effects from quark confinement on low-energy nucleon dynamics are
investigated within the generalized quantum dynamics (GQD). It is shown that
the GQD provides an extension of Hamiltonian dynamics which can describe the
evolution of systems of hadrons whose interaction is nonlocal in time due to
quark-gluon retardation effects. This is illustrated by the example of the
dynamics of nucleons with internal structure described by a constitute quark
model. It is shown that quark-gluon retardation effects result in an anomalous
off-shell behavior of the two-nucleon amplitudes, and in a lack of continuity
of the evolution operator describing nucleon dynamics; for this reason
low-energy nucleon dynamics is not governed by the Schr{\"o}dinger equation.
This is shown to have substantial effects on the dynamics of many nucleon
systems. It is also shown that the GQD allows one to take into account
retardation effects from quark confinement in describing the short-range part
of the $NN$ interaction.
  PACS number(s): 24.85.+p, 13.75.Cs, 21.30.-x
