cklein said:
Thanks guys,
Can I say that general consensus is that photons can be divided ? Irrelevant of the fact that we speak about individual photons or large numbers of photons making up an electromagnetic signal we can detect with our instruments ?
I don't think that what you write is the general consensus ; rather the opposite. However, there are some poetic liberties that you can take if you want...
Let's go back to the basics, to what is a photon, in QED.
What happens when one quantizes the free classical EM field (that is, when one applies the procedures to turn a classical prescription into a quantum prescription) is the following. The classical free EM solutions (modes) turn out to be equivalent to quantum mechanical oscillators with the same frequency, which have discrete energy and momentum levels. The energies are given by hbar omega (n + 1/2) where n is an integer, and the omega is the omega of the mode of course. This means that each EM mode can have energy levels with fixed steps ; so it is as if there were n "beables" with constant energy hbar omega and associated momentum in that mode. These beables are called photons. They start out as a book-keeping device and turn out to start to lead a physical life of their own, but remember that a photon is just a "step" on the quantization ladder of a given EM mode.
As such, it cannot be divided: there are no energy levels in between two steps in a given mode.
However, what can happen is that modes interact (through charges). This means that one mode A goes down one quantum level, and two other modes B and C go up one quantum level each. Does that mean that the original photon was "devided" ? Strictly applying the formalism, it is not: you first annihilate one photon in mode A, and then you create a photon in mode B and in mode C. But, as I said, if you insist on a certain poetic liberty you could say that the A photon has been "split" in a B and a C photon. But it is not the most natural explanation from a formal point of view. There, the most natural view is the annihilation and the creation (it is literally done that way with annihilation and creation operators).
cheers,
Patrick.