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I have onedimensional problem with a onedimensional potential
I want to know the energy domains that will result in discrete energy levels and the energy domains that will result in continuous energy levels
I have onedimensional problem with a onedimensional potential
I want to know the energy domains that will result in discrete energy levels and the energy domains that will result in continuous energy levels
In my lecture, my professor gave the example of v(r) = 1/r (r>0) (hydrogen atom basically). he told us that we can know immediately that for E>0 we will get continuous spectrum and for E<0 discrete spectra.
As far as I understood him, its because when r goes to infinity V goes to 0.
I would like to know the full explanation and why it works (some sort of proof would be nice ).
I tried to look for a decent explanation in Sakurai ( the coursebook) but unfortunately, I couldn't find one
I want to know the energy domains that will result in discrete energy levels and the energy domains that will result in continuous energy levels
In my lecture, my professor gave the example of v(r) = 1/r (r>0) (hydrogen atom basically). he told us that we can know immediately that for E>0 we will get continuous spectrum and for E<0 discrete spectra.
As far as I understood him, its because when r goes to infinity V goes to 0.
I would like to know the full explanation and why it works (some sort of proof would be nice ).
I tried to look for a decent explanation in Sakurai ( the coursebook) but unfortunately, I couldn't find one