Hi, Im currently watching this lecture series, and was wondering about something. At some point the lecturer says that QM is "not quantized", because if you express your solution to the schrodinger equationby introducing a pertubation parameter [itex]\epsilon[/itex], you will go smoothly from one energylevel to the next if you integrate episilon around the singularities in the complex plane(or something like that). Can anyone elaborate? And what does he mean by Riemann Sheet?

Its at 1:15 ish yes. But i shared the video so that it starts there.

Yeah its amazing, bhobba. I haven't managed to watch the entire series, but I got a hold of his book, which covers the topic as well. Much of it is pretty basic stuff, just that I wouldnt get the idea to apply it^^ except for the WKB/Boundary layer and multi-scale stuff that he gets into in the end of the course. That I dont quite understand

If you watch through the series, please take note of the time when he uses the analogy "Suppose you were walking down the street and someone asked you to solve the following eigenvalue problem...". I might just make a montage ^^