> an someone explain if the introduction about quantum states is in any way the same effect or just an analogy?
Not the same effect, and not an analogy; it's more about the history of non-radiating accelerating charges. When it was first understood that hydrogen was composed of a positive nucleus and an orbiting electron, there was quite a bit of head scratching as to how the electron orbit was stable and didn't just radiate its orbital energy away.
Bohr's model was somewhat ad hoc, but it said that the only allowed orbits would fit integral numbers of the electron's wavelength and would not radiate its energy away. The model got the right numbers for the orbital energies so it explained the spectral lines of hydrogen, though details of the hydrogenic orbitals would have to wait until Schrodinger's equation.
Not the same effect, and not an analogy; it's more about the history of non-radiating accelerating charges. When it was first understood that hydrogen was composed of a positive nucleus and an orbiting electron, there was quite a bit of head scratching as to how the electron orbit was stable and didn't just radiate its orbital energy away.
Bohr's model was somewhat ad hoc, but it said that the only allowed orbits would fit integral numbers of the electron's wavelength and would not radiate its energy away. The model got the right numbers for the orbital energies so it explained the spectral lines of hydrogen, though details of the hydrogenic orbitals would have to wait until Schrodinger's equation.