In this paper, we argue that, in addition to electrical and chemical signals propagating in the neurons of the brain, signal propagation takes place in the form of biophoton production. This statement is supported by recent experimental confirmation of photon guiding properties of a single neuron. We have reviewed the mechanism of biophoton production in the neurons and investigated the interaction of biophotons with biomolecules from a quantum mechanical point of view. It appears that the role of biophotons in the neurons of the brain is very important. A significant relationship between the fluctuation function of biomolecules (due to the emission and absorption of biophotons) and alpha-EEG diagrams is elaborated on in this paper.