A new approach to the ground state of quantum-Hall systems. I. Basic principles

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.