Recent content by renormalize

Agreed, but also beware of answers that are too "hand-waving" or "dumbed-down". Again, quoting you: But by that logic one could just as well say: "Because of ##P=V^2/R## you're better off with low ##V##." How is a beginner to know which is the correct reasoning? That's the ambiguity in your...

Sure, but the OP specifically asked: That's the basic question I aimed to answer in my post #9.

I think a more cogent argument is the following. Define ##V_0## to be the voltage at the generator, ##R_W## the resistance of the delivery wiring and ##I## the current flowing in that wiring. Then the power that can be delivered to a load is:$$P_L=V_L\,I=\left(V_0-IR_W\right)I=V_0\,I-I^2...

Damn, some of those scenes are startlingly realistic. How long can traditional Hollywood hold out against the onslaught of AI?

But whenever the judges aren't unconscious they likely have aesthetic preferences.

So why not do the decent thing and correct or delete your erroneous post #8?

Here the left side is again different from "##\delta x##" so you evidently didn't "copy and paste" your equation from that reference either. Regardless of how you mistakenly came up with ##\delta x=\phi(0)##, do you now acknowledge that its in error? If so, you should edit post #8 so as not to...

OK, I'll await your specific citation(s) supporting ##\delta x=\phi(0)##. Until then I remain skeptical for reasons already explained.

Hopefully you aren't just copying your equations and citations from AI responses.

It's elusive because neither of those citations support your claim. Here's an excerpt from pg. 398 of your first reference: These are the only mentions of ##\delta## on that page and clearly have nothing to do with your claimed equation in post #8. Further, in my copy of Principles of Quantum...

Yes I do and you still haven't directly answered my question: where in Principles of Quantum Mechanics (or elsewhere) does Dirac explicitly write ##\delta x=\phi (0)## (or its algebraic equivalent)? (Chapter, page, equation number, please.) Or did you make up that equation?

Alas, my thread-views are once again popping back down as I use my mouse-wheel to scroll up (Google Chrome, Windows 10).

Can you supply a reference in which Dirac explicitly writes the equation ##\delta x=\phi (0)##? My objection to it is that ##\phi## appears on the right-side and yet is absent on the left.

But that doesn't address my questions. Could you please show me a simple curtesy by clarifying the meaning of your notation?

What is this notation? Shouldn't it be ##\delta [\phi]=\phi (0)##?