Wigner Function and Non-classicality for Oscillator Systems

The Schrödinger equation in phase space is used to calculate the Wigner function for oscillator systems. The first is two oscillators including dissipative effects. In this case, the non-classicality of the states is studied by the non-classicality indicator of the Wigner function, which is calculated as a function of the dissipation parameter. The second oscillator system is non-linear pendulum. Analytical results are derived and the Wigner function is analyzed.