Recent content by AVentura

I didn't realize Planck introduced Boltzmann's constant here. And essentially put the distribution that Wien used into the form we have today, with ##E##. Okay, Wien wouldn't have known the energy of his states ##E=\nu*constant##.

Thanks. Looking for an English translation I came across this: https://arxiv.org/pdf/physics/0402064.pdf Pages 7 and 8 tell an interesting story, but I cannot reconcile it with what is in Planck's paper. But my German is very limited.

I've tried to look into Wien's background for clues to the historical development. I did come across a claim that he was associated with nationalism. I think someone in this thread may be referring to this but doesn't want to elaborate. IIRC Planck defended his Jewish colleagues directly to...

I don't think Wien had any idea about quantum theory. Can anyone explain how Planck got Bose-Einstein and how that's related to quantized energy? People, this was the only change he made in the formula. Wien must have known the value of the constant combined with the wavelength or frequency...

Which is equivalent.

Thank you for your help clearing this up. Have you seen in recent pop media the claim that ##1+2+3 ... \infty = -\frac {1} {12}## ? I'm guessing it is a similar mistake. People are using the definition for the zeta function > 1 for the point s = -1.

I understand. He used a different representation for the expression. btw, the German word for cavity, Hohlraum, is present in Wien's paper. Page 664, second paragraph. Also: https://www.nature.com/articles/162143c0

It's guess it's not true then. Then where did Wien get ##h\nu=E## from I wonder.

I heard from some guy on some forum someplace that Wien expanded and contracted his cavity model adiabatically and noticed the shift in the peak predicted output, and that led him to ##h\nu=E##. I'm not claiming it's true. I'm trying to find out.

The change of statistics and the energy substitution within it are clear in the formulas. There was a book that came out around 2000 regarding this all. People have written various articles about it. I read some of the articles. I'll try and find the name of the book. I didn't know about...

I would be willing to believe this if one could show us how that gets you from Maxwell-Boltzmann to Bose-Einstein statistics, which appears to be the only change. Wien does have a ##h\nu = E## substitution. I've heard that he deduced it from his observation that the peak frequency in his...

https://www.wolframalpha.com/input/?i=lim+N->0+{∑(1-1/n^2)/N+,+n=1,N} Are we seeing the error right after the first step? btw, WA gives real solutions for all ##N##, except the negative integers, which seem to all be negative infinity. looks like there are less complicated ways to make WA do...

I did see that, and I assume it's used somehow in the result I posted. I used wolfram's solver directly. I don't have "pro" so I can't see the steps. I guess wolframalpha is just making a mistake. Perhaps it solves an intermediate step and then applies a limit that violates a previous step...

Yes, I agree. Perhaps someone could have a look at wolfram alpha's step by step proof for this answer. I must admit it is beyond me.

Could someone please help me understand why ##h## isn't known as Wien's constant? In his "approximation": it just looks like he used the wrong distribution function (Maxwell-Boltzmann) with ##h\nu## correctly for energy And why is the correct distribution function $$ \frac 1 {e^{\frac E...