  The eigenvalue equation has been found for a Hamilton function in a form
independent of the choice of a potential. This paper proposes a modified
Fedosov construction on a flat symplectic manifold. Necessary and sufficient
conditions for solutions of an eigenvalue equation to be Wigner functions of
pure states are presented. The 1--D harmonic oscillator eigenvalue equation in
the coordinates time and energy is solved. A perturbation theory based on the
variables time and energy is elaborated.
