I De Broglie question

Just a quick question (although there is a followup depending on the answer). In the formula ##E=\hbar \omega##, is E only kinetic energy or the total mechanical energy (kinetic energy plus potential energy). Thanks!

 

I know that, I'm asking about the E in the equation ##E=\hbar \omega##.

 

As I said, depending on the answer. If it was just the kinetic energy, I would have been confused about something, but apparently I was right to be confused because it is the total energy.