  A combined method for analyzing quantum dynamical equations which uses the
Bohmian mechanics and the quantum phase space representation is proposed. It is
based on a presentation of the wave function in phase space in a polar form.
The combined method is very effective for comparison of classical and quantum
dynamics for polynomial potentials of order no higher than second. Application
for the harmonic oscillator and quartic double well potential is performed.
Quantum fluxes and particle energy are derived by means of the proposed method.
