SpaceTiger said:
Who said it was? Your habit of putting words in quotes that I never used is really obnoxious.
First of all, *I* was the one who ASKED if this is "new" and "unknown". I didn't say that YOU claim these.
Secondly, I asked that because you said "...but I hope you can see the value in analyzing theory beyond the limits of practical experiments..."
The "theory" being the evolution of the electron wavefuction in a 3D potential over LONG period of time till the quantum effects manifest themselves, no? Or am I putting words into your mouth again? If this is correct, then you want to "analyze" this theory?
I then scratch my head and ask if this is new and unknown, afterall, why would you analyze something that is already known? I point to superconductivity as being JUST exactly what you are trying to "analyze". They are made up of "free" carriers (electrons), they can exist forever, and they can be in a 3D potential with the metallic walls as the infinite potential. This is exactly the situation you wanted to analyze, no?
Furthermore, I DID NOT say
"If you're saying that the existence of superconductors implies that the infinite well solution should collapse to quantum behavior on short timescales, you're just wrong."
I have never cared about "time scales" of electrons emitted from their sources. You do. I have ALWAYS maintained from the very beginning that in every practical sense, as soon as this happens, the electron is now a classical particle. Charge particles have typically suffered from decoherence as soon as they are emitted, even in vacuum! The most common means to preseve such coherence is within the quantum "protectorate" mode inside solids such as a superconductor. They can live as long as you want them. And heaven knows, superconductivity (at least the conventional ones) has been analyzed to death.
That is why I brought it up. You are welcome to dismiss this if you want.
Zz.