  I present a new approach to the many-body ground state of quantum-Hall
systems. The method describes the behavior of a two-dimensional electron system
at all Landau-level filling factors $\nu$, continuously as a function of
magnetic field, and enables one to analytically calculate any physical value,
characterizing the system, at all $\nu$. New proposed trial many-body wave
functions have a clear physical meaning and a very large variational freedom,
which opens up wide possibilities to search for the ground state of the system
at all magnetic fields.
