physics pfan said:
Dr. Z:
You have added a lot to this forum and I am in awe of your knowledge. But a couple of small points regarding your post.
First you say: "So we instead call it [the photon] a "particle" because when we make some measurements of it, it tends to behave as if it is our ordinary, classical 'particle'..."
And then you say: "We call it a particle because its energy comes in quantized clumps. That's it!"
My guess is you wrote the latter statement in haste. We are really dealing here with the wave-particle duality of the photon which is a rather deep matter. If said photon of quantized energy terminated by spreading its energy and momentum over all available space paths then I don't think we would call it a particle; we would probably call it a "wave."
But of course the photon doesn't terminate over multiple locations; it terminates only at one space location. So we call it a "particle" because we have adopted the classical model that an entity of kinetic energy traversing space is a PROJECTILE that has a single space point of impact/termination. Whether this "projectile" model is valid for the photon is open to question [although not by most physicists], but that is another question.
But I would respectfully suggest that you reconsider the assertion that for the photon particle == quantized energy.
Physics Pfan
In a superconductor, the wavefunction for the Cooper pairs, which are paired electrons, are non-localized. This means that the cooper pairs, at any given instant before a measurement, are "spread out" all over the relevant space of the superconductor. Yet, these are "particles", meaning that these are composed of "electrons". It illustrates the case where even such "particles" CAN have the situation similar to what you deem as "classical wave", meaning they are spread out over all space the way a classical wave should.
It also means that photons can do the same thing even when we consider them as "clumps" of energy (and spin and momentum). So your assertion that only "wave" should be able to exhibit this spread in location doesn't hold true, because we have seen similar behavior in "particles" as well.
What people are missing here is that,
once something can be described quantum mechanically, then hanging on to our classical biases no longer works! This is true be it for something we classically thought to be a wave (light), all the way to something we thought to be a classical particle (electrons, protons, neutrons, buckyballs, etc.). And the fact that these are consistently described via ONE single formulation (QM)
and where all the wave-like and particle-like observations can be derived using just that one formulation, should dispel the myth that there is such a thing as a "wave-particle duality" in QM. There is a wave-particle duality in classical physics and in our minds, but there isn't any in QM! How can there be when you use the same set of description for everything?
Zz.