When the switch is on, the capacitor takes current from the voltage-source and charges up, while the inductor is un-charged. (1st positive-half-circle)
When the switch is off, the charged capacitor discharges voltages for the un-charged inductor to charge up and while charging up, the current builds up.
(1st nagative-half-circle)
At this stage the capacitor current is decreasing that the inductor will have to help by giving him more current to charge up.
This way, he too loses its current to the capacitor and the capacitor will have to help too.
So, you can see that the inductor stole voltage from the capacitor and gave back current.
The capacitor will also steal current from the inductor and in return he gives back voltage.
This oscillation can continue forever...
The output of this oscillation is a pure sinusoidal wave with RMS 847mv from a 1.2v voltage source at 60Hz.