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Meden Agan's latest activity
M
Meden Agan
reacted to
fresh_42's post
in the thread
Prove that the integral is equal to ##\pi^2/8##
with
Like
.
I had something similar: $$ I=2\int_0^a\left(\int_0^{\sqrt{f(\alpha)f(-\alpha)}} \dfrac{1}{\sqrt{1-t^2}}\,dt\right)\,d\alpha\, ...
Oct 1, 2025
M
Meden Agan
reacted to
fresh_42's post
in the thread
Prove that the integral is equal to ##\pi^2/8##
with
Like
.
And if you do what he wrote, you won't obtain it either. ##(2)## results in a monster polynomial in ##t,## ##\sin\theta ## and ##\sin...
Sep 30, 2025
M
Meden Agan
replied to the thread
Prove that the integral is equal to ##\pi^2/8##
.
Sure. But if you differentiate ##\Theta(t) = \arcsin \left(\sqrt{E(t)}\right)## with respect to ##t##, you don't obtain the expression...
Sep 30, 2025
M
Meden Agan
reacted to
fresh_42's post
in the thread
Prove that the integral is equal to ##\pi^2/8##
with
Like
.
Looks nice at first sight. They say how to do it. Looks like a bit of work to check it. I'll go through it if I have some time...
Sep 30, 2025
M
Meden Agan
replied to the thread
Prove that the integral is equal to ##\pi^2/8##
.
@fresh_42 I found a solution to this integral here. Does it convince you? I can't understand how they derived equation ##(3)## from...
Sep 30, 2025
M
Meden Agan
reacted to
PeterDonis's post
in the thread
I
Schrödinger equation and classical wave equation
with
Like
.
"I've heard" is not a valid reference. If you can give us references to actual textbooks or peer-reviewed papers that make statements...
Sep 28, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
Sorry, I wasn't clear from the very start. In my academic studies, I've heard some professors say that Schrödinger's equation is a wave...
Sep 28, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
My primary reference is Variational Principles in Dynamics and Quantum Theory by Yourgrau and Mandelstam. It's possible to see an...
Sep 28, 2025
M
Meden Agan
reacted to
PeterDonis's post
in the thread
I
Schrödinger equation and classical wave equation
with
Like
.
Still a lot, and I'm not sure where it's all coming from or why you're asking about it. Some references would be helpful. If your main...
Sep 28, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
These paragraphs.
Sep 27, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
I think you're right. So, although my original question was different and vague, I'd like to analyze some technicalities of...
Sep 27, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
Everything you say is correct. However, I can't conclude that Schrödinger's equation is completely different from the classical wave...
Sep 27, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
IMO, the reason why Schrödinger's equation for matter waves is first order in ##t## and the classical electromagnetic wave equation is...
Sep 26, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
When I receive a response to this about my interpretation of post #8, I'll proceed to step three. That's what's bothering me the most.
Sep 26, 2025
M
Meden Agan
replied to the thread
I
Schrödinger equation and classical wave equation
.
Yes, I agree. Note that in the Klein-Gordon equation, mass is also present. Also note that there are three spatial components. The...
Sep 26, 2025
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