  The Fermi liquid theory may provide a good description of the thermodynamic
properties of an interacting particle system when the interaction between the
particles contributes to the total energy of the system with a quantity which
may depend on the total particle number, but does not depend on the
temperature. In such a situation, the ideal part of the Hamiltonian, i.e. the
energy of the system without the interaction energy, also provides a good
description of the system's thermodynamics.
  If the total interaction energy of the system, being a complicated function
of the particle populations, is temperature dependent, then the Landau's
quasiparticle gas cannot describe accurately the thermodynamics of the system.
  A general solution to this problem is presented in this paper, in which the
quasiparticle energies are redefined in such a way that the total energy of the
system is identical to the sum of the energies of the quasiparticles. This
implies also that the thermodynamic properties of the system and those of the
quasiparticle gas are identical.
  By choosing a perspective in which the quasiparticle energies are fixed while
the density of states along the quasiparticle axis vary, we transform our
quasiparticle system into an ideal gas which obey fractional exclusion
statistics.
