This is probably where we are talking past each other since you are all to willing to mouth off before you know the details: In my model the charge-carriers are stationary within adjacent wells and a charge-carrier only moves by hopping out of its well into an adjacent well where it replaces the resident orbital which hops on further etc.
If it's hopping, it is
not a stationary state. "Stationary state" has a specific meaning: that expectation values do not change over time. A hopping state does not,
cannot, meet the requirements of a stationary state, because its position is changing over time. You aren't talking past me, you're failing to understand basic quantum mechanics.
In total agreement that this must be so, but according to you this is an"expected value" (whatever this silly term means) which is obtained after many measurements on an ensemble of many states.
The term is "expectation value". And you can find it with a single integral.
Thus for many of these measurements you will find that -dV/dx is not zero. So how can the average value define an equilibrium state when many of your measurements give a non-equilibrium value for this derivative?
Have you never taken quantum mechanics before? Is this really something new to you? Are you actually unaware that the ground state of a particle in a harmonic oscillator potential spreads out, and thus has nonzero potential energy?
I believe that it is you and the main stream physicists who do not know what the brackets really mean
Yes, yes, everybody is wrong about all of quantum mechanics too. You do know that nobody takes these arguments of yours seriously, don't you?
And the definition of "expectation value" found in the main stream literature means that many measurements will not find that the wave is in equilibrium
That depends very much on what's being measured. If you measure position, yes. If you measure energy, no.
So according to your claim this means that when you do a measurement and find that for that particular wave -dV/dx is not zero, then that wave is accelerating?
Well, DUH.
So Griffiths can never be wrong?
No. But you attributed a quote from Griffiths to me personally, and that
attribution is wrong. So I corrected it. Do you have a problem with me giving the correct attribution to a statement?
Please enlighten me since I do not have access to Griffiths.
If I have time later I might.
So Griffiths is God: I would really like to meet him!
No, he's not God, I doubt the proof even originates with him, but the proof is rather obviously correct (valid proofs tend to be), and the interpretation OF that proof self-evident based on the contents of that proof. The terms he uses are
defined in the proof, and you cannot substitute other meanings for those definitions.
Not true. As you know time is a fourth dimension and this means that there is energy that belongs to the wave which is not present within three-dimensional space
Yeah, no. That's not part of quantum mechanics. You clearly don't believe in quantum mechanics, or frankly even understand quantum mechanics, and yet you want to ride its coat tails.
That is the official definition which does not rest on any proof whatsoever.
If it involved a proof, it wouldn't be a definition, it would be a
result. You never
prove definitions.
And a definition by the mainstream "experts" cannot ever be wrong?
Well, no. A definition can only be wrong in so far as it differs from the standard definition. The standard definition cannot be wrong,
by definition. But perhaps you are (ironically) confused about the definition of "definition".
So you can obtain a value for resistance by only measuring currents?
It's usually the easiest way.
So why do everybody ask me to measure voltage in my experiment
Most voltmeters work by measuring a current through a known resistor.
How can I define what Onnes measured without himself defining it ?
Again, if you think ANY of this hinges on the precise definition of resistance that Onnes used, why don't you go look up his papers and
find out?
All that we are discussing here is that Onnes measured a DC voltage and a DC current (no impedance involved") and found that the voltage suddenly dropped to an immeasurably low value; but he did not report voltage but resistance: I would like to know what previous physics he used to calculate this near zero resistance; or why he eventually claimed zero resistance before first defining what zero resistance is.
Chances are he simply used Ohm's law. Which (rather trivially) includes the zero resistance case.
So how did Onnes calculate the power P by only measuring the current?
Don't know, don't care, doesn't matter.