Recent content by Botttom
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Graduate Raman Spectra: Stokes vs Anti-Stokes - Get Answers Here!
Ok thank you- Botttom
- Post #3
- Forum: Atomic and Condensed Matter
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Graduate Raman Spectra: Stokes vs Anti-Stokes - Get Answers Here!
Hello, In most of the papers like http://eprints.qut.edu.au/4763/1/4763.pdf one sees the raman spectra of crystals or molecules and the peaks are not further described (if they are stokes or antistokes). Do all the Peaks belong to the Anti-stokes-lines? And if it is so, why don't we see any...- Botttom
- Thread
- Stokes
- Replies: 2
- Forum: Atomic and Condensed Matter
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Graduate Gibbs and Helmholtz energies of a superconductor
Ok, thanks- Botttom
- Post #9
- Forum: Atomic and Condensed Matter
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Graduate Derivation of Helmholtz Energy Minimum in Thermodynamics
Hey, The helmholtz energy is supposed to have a minimum when the entropy has a maximum value. Does anyone knows the derivation for this statement?- Botttom
- Thread
- Energy Helmholtz Helmholtz energy Minimum
- Replies: 1
- Forum: Thermodynamics
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Graduate Gibbs and Helmholtz energies of a superconductor
But the helmholtz energy should still be continuous at T_c like the gibbs energy, right?- Botttom
- Post #6
- Forum: Atomic and Condensed Matter
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Graduate Gibbs and Helmholtz energies of a superconductor
No, i just assume that the magnetization is small enough in the normal state, because the sample is not diamagnetic in normal state. The diamagnetism is only seen in the superconducting state with $$M=H,$$ and hence can not be assumed to be small enough to be neglected- Botttom
- Post #4
- Forum: Atomic and Condensed Matter
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Graduate Gibbs and Helmholtz energies of a superconductor
Hello, I consider an ideal superconductor with the gibbs-energy $$ d G=-SdT + VdP - \mu_0 M V dH$$ and helmholtz energy $$ dF = -SdT -P dV + \mu_0 V H dM$$ Assuming, that in the normal state the magnetization is too small, so that G_n(H) = G_n(H=0) and at the transition point H_c the...- Botttom
- Thread
- Energies Gibbs Helmholtz Superconductor
- Replies: 7
- Forum: Atomic and Condensed Matter
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Graduate How can the wave equation be rearranged to include r?
oh you mean $${\partial r\over {\partial x}} = {x \over r} = {r \cos(\theta) \over {r}} $$- Botttom
- Post #16
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
Well , yes the part with the time derivative is obvious. The other part is not. Why would there be a cosine(theta) ?- Botttom
- Post #14
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
Yes, but the general solution is not known in this case- Botttom
- Post #11
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
The question is to show, that if \phi solves the equation {1\over{c^2}} {\partial^2 ( r \phi) \over{\partial t^2}} = {\partial^2 (r \phi) \over{\partial r^2}} than so should every partial derivative $$\frac{\partial\phi}{\partial x }, \frac{\partial\phi}{\partial y }...- Botttom
- Post #9
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
Do you mean product rule in this formula>? {1\over{c^2}} {\partial^2 ( r \phi) \over{\partial t^2}} = {\partial^2 (r \phi) \over{\partial r^2}} .- Botttom
- Post #7
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
I would like to show, that if \phi is a solution to the equation than each partial derivative of \phi is also a solution. I am failing to show that just by plugging the derivative in. How can i do that?- Botttom
- Post #5
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
Yes, this works! Is it possible to find solutions using the second formula? Thanks!- Botttom
- Post #3
- Forum: Differential Equations
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Graduate How can the wave equation be rearranged to include r?
Hello! The wave equation given: {1\over{c^2}} {\partial^2 \phi\over{\partial t^2}} = \Delta \phi with r = \sqrt{x^2+y^2+z^2} needs to be rearranged, so that {1\over{c^2}} {\partial^2 ( r \phi) \over{\partial t^2}} = {\partial^2 (r \phi) \over{\partial r^2}} . Are there any tricks to obtain...- Botttom
- Thread
- Wave Wave equation
- Replies: 15
- Forum: Differential Equations