Recent content by luke
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Undergrad How Do You Graph 3D Functions in Mathematica 8?
Well if you want to change the domain over which the plot is made, you just need to change the limits So this will show a cube that is 6x6x6 centered at (0,0,0) ContourPlot3D[f(x,y,z)==0,{x,-3,3},{y,-3,3},{z,-3,3}] This will show a larger region that is a 8x8x8 cube centered at... -
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Graduate How to show integral identity involving gaussian over x
I solved it (after some friends pointed out some simple mistakes I was making). For the record, here is how I did it. I will use spherical coordinates with the z-axis aligned with \vec{y} \int d\vec{x} \frac{e^{-x^2}}{\left| \vec{x} - \vec{y}\right|} = \int_0^{2 \pi} d\theta... -
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Undergrad How Do You Graph 3D Functions in Mathematica 8?
Let me know if you have trouble, but they worked for me. In general, I find Mathematica's greatest strength for a beginner is the documentation. The documentation is mostly just a bunch of examples. Check it out. I didn't know about ContourPlot3D until I checked the documentation. The way I... -
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High School What Temperature Does Each Element Become Plasma?
So I believe that it will not be as simple as finding a table with elements and temperatures but it is possible that you could make sure a table with some assumptions. First off, do you know what a plasma is? In short a gas becomes a plasma when electron(s) are removed from the nucleus. The...- luke
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- Forum: High Energy, Nuclear, Particle Physics
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Graduate Struggling with the Boltzmann Collision Term?
If you are still interested in this problem maybe I could help. I have spent the last few weeks working with the Boltzmann and fokker-planck collision operators. I take from your question that you are solving the collisional Boltzmann equation and are having a hard time numerically solving the... -
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Undergrad How Do You Graph 3D Functions in Mathematica 8?
That is a good question. I had never actually used to visualize 3D surfaces until now. Nice idea. Here are some example bits of script: ContourPlot3D[6 x + 2 y + 3 z == 6, {x, -3, 3}, {y, -3, 3}, {z, -3, 3}] ContourPlot3D[x^2 + y^2 + z^2 - 4==0 , {x, -3, 3}, {y, -3, 3}, {z, -3, 3}] I choose to... -
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Graduate How to show integral identity involving gaussian over x
So I have come across this integral identity in Krall's Principles of Plasma Physics (right after equ. 6.4.4 in the 1st edition) and I have not been able to show the identity is true. The reason that I would like to understand the integral is that I am trying to solve a similar problem to the... -
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Unknown Symbol in Molecular Term Symbols
Thank you for your help. I found a reference that give essentially the same information but might be helpful to someone else who stumbles upon this. Molecular Spectra and Molecular Structure, Vol I by Herzberg. The appendix has a list of electronic structures and provides an explanation of... -
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Unknown Symbol in Molecular Term Symbols
Thank you gabriels for the fast reply. I have a few follow up questions. If you could recommend a reference that uses this notation that might be easier then answering my questions. Either way is fine by me. From what I have read it makes sense that the X would denote the ground state but... -
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Unknown Symbol in Molecular Term Symbols
Hello, I am interested in the electronic states of the N2 molecule. Now it is a homonuclear diatomic molecule and http://en.wikipedia.org/wiki/Molecular_term_symbol" ) but I do not understand what the Latin letters before the molecular term symbols mean. Here are some of the states X^{1}... -
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Graduate Introduction to Plasmon Physics & Its Effects
Try "Surface plasmon subwavelength optics" WL Barnes, A Dereux, TW Ebbesen - Nature, 2003 http://www.me.berkeley.edu/~lwlin/me118/papers/paper11.pdf "Theory of Surface Plasmons and Surface-Plasmon Polaritons" Pitarke, Silkin, Chulkov, Echenique - Rep. Prog. Phys. 70 (2007) 1-87...- luke
- Post #2
- Forum: Atomic and Condensed Matter
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Undergrad Why do water bottle oscillations grow on a sloping surface?
does this phenomenon occur no matter how much water you put in the water bottle? I feel like there but be a certain amount of water where this phenomenon would be more pronounced. I haven't thought about your problem long and I am not positive I understand exactly the phenomenon that is... -
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Graduate E-field from Time Varying B-field of Current Loop
Ah ok good. That is what I had figured. I was later able to reason that my scalar field must be zero everywhere since it would correspond with charges. So it is good that you pointed it out because now I know I was thinking about it correctly. Thank you.- luke
- Post #5
- Forum: Electromagnetism
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Graduate E-field from Time Varying B-field of Current Loop
I believe what you are referring is the E-field in the loop. The E that is responsible for the current. But I am not interested in the inside of the current loop. Maybe I am misunderstanding what you are suggesting but I do not feel like it would produce the E-field in the regions about the...- luke
- Post #3
- Forum: Electromagnetism
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Graduate Solving the Rocket Equation: Confusion with Signs
I hope this isn't too off topic but i think you need [/tex] instead of [tex] at the end