Hi, One of the main problems of the Rutherford model is the fact that the electrons are accelerated and hence should lose energy due to radiation. Bohr's model doesn't resolve this, it only postulates that the energy levels are quantized and energy can only be emitted or absorbed by jumping between the levels. What about the Schrödinger hydrogen atom? In many applications (for example perturbation theory) it's enough to treat the electromagnetic field classically (i.e. non-quantized). Hence if I measure the acceleration of the electron and apply Maxwell's equations, I should find a loss of energy by radiation. Did I miss something, or do I need a full QFT description to explain why the hydrogen atom is stable?