Meden Agan's latest activity
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MMeden 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\, ... -
MMeden 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...
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MMeden 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...
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MMeden 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...
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MMeden 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...
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MMeden Agan reacted to PeterDonis's post in the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad 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...
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MMeden Agan reacted to PeterDonis's post in the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad Schrödinger equation and classical wave equation.These paragraphs.
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MMeden Agan replied to the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad 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...
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MMeden Agan replied to the thread Undergrad 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.
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MMeden Agan replied to the thread Undergrad 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...