I made considerations in term of the Compton effect. This effect means that a photon give an electron a momentum, so the electron moves. At the same time, the wavelength of the photon is increased, its longer than before the momentum. So far so good.
And now I consider that the energy level of a photon must be decrease after the momentum, as the longer the wavelength the lesser the energy level of a photon. I guess that a certain amount of energy was transferred to the electron after momentum. Am I right with my considerations?