Quantum Mechanics Electron Diagram

[Petrina Kan 2I]

Could someone explain the diagram of the electrons with the "Allowed energy level" and "Not allowed" under the QM Description of Atoms slide from his lecture on 10/11? I know that these images were still ones from a how it is supposed to be moving in real life, but I still don't quite understand what the picture is supposed to be showing us. Thank you!

[DMuth_1J]

Are you talking about the diagrams where there was a pulsating wave-circle on an X and Y axis? If so, it was meant to demonstrate how the wave must be connected. There is no possibility, it is "not allowed," for the energy level to change. The broken wave-circle is not allowed because there is a transition in the actual energy level, whereas the one that was "allowed" was completely connected because the wave is continuous and consistently the same. What changes is whether the electron resides at that energy level, or is bound by the circle.