Recent content by bvic4
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Laplace and Fourier Transform of a PDE
I realized that the last equation I wrote can be written as E(\alpha,t) = f(\alpha) (2*\cos{\sqrt{\omega_e^2 + 3 v_e^2 \alpha^2} t}) Is that helpful? Does anyone know how to take the inverse Fourier transform? Thanks, Brian- bvic4
- Post #2
- Forum: Calculus and Beyond Homework Help
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Laplace and Fourier Transform of a PDE
Homework Statement In this problem I'm trying to derive an explicit solution for Langmuir waves in a plasma. In part (a) of the problem I derived the wave equation (\partial_t_t+\omega_e^2-3v_e^2\partial_x_x) E(x,t) = 0 This matches the solution in the book so I believe it's correct...- bvic4
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- Fourier Fourier transform Laplace Pde Transform
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Graduate Are Plasma Waves Truly Faster than Light?
Hi, I'm studying plasma waves now, and we have talked about waves in class that have phase velocities faster than the speed of light. For example, some of the waves from the Appleton-Hartree dispersion relation have this characteristic. I asked my professor about it and he said that is... -
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Graduate How Does Our Understanding of Size Affect Quantum Mechanics?
Thanks for the replies. This is really interesting for me to think about. The article was referring to the size of atoms based on the Planck length. The idea just made me think of relative size of atoms. I think it basically comes down to: "The point is that the only things that can be...- bvic4
- Post #6
- Forum: Quantum Physics
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Graduate How Does Our Understanding of Size Affect Quantum Mechanics?
There was an article in this month's Scientific American and it mentioned that without the Higgs particle that atoms could be several inches across. This got me to thinking why we know the absolute size of something. Would something in a different world know if they were made up of larger...- bvic4
- Thread
- Replies: 5
- Forum: Quantum Physics