Spacing Between States

  The quantum mechanical view of the above emission process is that with the emission of each photon, the particle jumps down into the next lower energy orbit. Assuming that n is large (so that the classical view in Problem 4.4 is still a good approximation), that the energy difference between the orbits with n and n+1 de Broglie wavelengths is approximately

explicitly that this is precisely the result obtained for the photon energies in Problem 4.4.