I have only taken QM for a semester so I'm sure there are a lot of gaps in my understanding. Here is my question: The original electron orbiting around the nucleus like planets around the sun model was rejected partly because the radiation (energy loss) was not taken into consideration. I thought the new QM model was supposed to fix it. However with the hydrogen atom we learned, there are still these stationary eigenstates of energy. Even though we don't have a point electron anymore (replaced with a wave of probabibility), doesn't the electron still have angular momentum/acceleration/etc which allows it to radiate? If this is true, then how can there be any stationary states? Why don't the solutions to the hydrogen atom we learn involve a decay in energy? Thanks a lot in advance!!!!!