Recent content by arcnets
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Graduate Pauli Principle: Exploring Its Deeper Basis & Photon Emission
I think what you're basically talking about is the "spin-statistics-theorem". I think it says that fermions obey the Pauli principle, while bosons do not.- arcnets
- Post #2
- Forum: Quantum Physics
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Graduate Is E=mc^2 Truly a Relativistic Concept?
cesiumfrog, I understand that you see my error in my derivation of relativistic mass but not in the rest of the "proof". I admit there is a weak spot there. OK, how about this: (ct)^2 - x^2 = invariant. Let's define the 4-vector X = (ct; ix). Then the invariant is the square length of...- arcnets
- Post #8
- Forum: Special and General Relativity
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Graduate Is E=mc^2 Truly a Relativistic Concept?
You are fast! Where do you see an error?- arcnets
- Post #5
- Forum: Special and General Relativity
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Graduate Is E=mc^2 Truly a Relativistic Concept?
I think the answer is yes. Here's a derivation which I rather like. You start from the invariance of light speed: (ct)^2 - x^2 = invariant. Now you multiply by m and divide by t, getting (mc)^2 - (mv)^2 = invariant (since v = x/t). Now you look at two frames, one of which is the rest...- arcnets
- Post #2
- Forum: Special and General Relativity
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Graduate How Does Feynman's Sum Over Paths Explain Photon Trajectories?
I think this is correct. What I meant by "the whole space" is actually the backwards lightcone of B.- arcnets
- Post #15
- Forum: Special and General Relativity
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Graduate Derivation of the Equation for Relativistic Mass
I think it's more simple, but I can't do the nice formulae, sorry... First, from the invariance of c for all observers, you get the equation (ct)^2 - x^2 = invariant for all observers. Next, you multiply with m^2 and divide by t^2: (mc)^2 - (mx/t)^2 = invariant. Now if one observer (0) is...- arcnets
- Post #18
- Forum: Special and General Relativity
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Graduate How Does Feynman's Sum Over Paths Explain Photon Trajectories?
I think Feynman wants to illustrate something called "Huyghens' Principle". Another way to illustrate this, is a hologram. A hologram can be cut in half, and each part still carries the whole picture. That's because a hologram is the record of a light wave, and the information in a wave is...- arcnets
- Post #2
- Forum: Special and General Relativity
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Graduate Questions on the conceptual basis of statistical mechanics
1 - I think we need the heat bath to keep temperature constant. This means that our system can exchange energy with the heat bath, but since input = output, the net change is zero. Same as with an isolated system. 2 - I think we don't care about the exact mechanism, but use conservation... -
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Undergrad Photoelectric Effect contradiction
OK, the lesson is tomorrow, let's see what happens. Thanks a lot for your input ZapperZ. :smile:- arcnets
- Post #11
- Forum: Quantum Physics
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Undergrad Photoelectric Effect contradiction
I think I understand why you scratch your head. Maybe I make it more complicated than it is. Well. I did some classical calculation. First, I calculated the amplitude of the electric field produced by the light (.6 Watts over 1 cm^2). I came up with 24.000 V/m which is quite weak. In such a...- arcnets
- Post #9
- Forum: Quantum Physics
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Undergrad Photoelectric Effect contradiction
Yes, Ok. Sorry if I explained badly. My goal was to look at the photoelectric effect from a purely classical point of view, and make a classical prediction. A quantitative prediction *without* using photons. Then to show (in class) by experiment that this prediction is wrong. It must...- arcnets
- Post #7
- Forum: Quantum Physics
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Undergrad Photoelectric Effect contradiction
Yes, it is indeed. But I actually did this experiment. I had .6 Watts of light being absorbed by the cathode (caesium), so the upper limit for photocurrent is .3 Amperes, since an electron needs ~2 eV to escape. What I actually measured was 1.5 x 10^-7 Amperes of photocurrent. So the best part...- arcnets
- Post #5
- Forum: Quantum Physics
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Undergrad Photoelectric Effect contradiction
Yes OK, I know that. So the electrons start to oscillate because they're in an oscillating field. The stronger the light, the stronger the oscillations, OK. But oscillation doesn't mean they get out of the metal, does it?- arcnets
- Post #3
- Forum: Quantum Physics
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Undergrad Photoelectric Effect contradiction
Hiya, I'm about to teach the photoelectric effect in class. Everybody knows that observations contradict the classical prediction. Which is: Stopping voltage schould go up with light intensity. OK. But I have a problem: What EXACTLY is the classical prediction? I mean, is there a formula that...- arcnets
- Thread
- Contradiction Photoelectric Photoelectric effect
- Replies: 17
- Forum: Quantum Physics
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Graduate Why is the classical atom unstable?
OK, thank you. It seems to me that the most basic physical problem - two pointlike particles with e.m. interaction - can not be solved by Newtonian physics. Because we cannot calculate the forces. Or am I wrong...?- arcnets
- Post #5
- Forum: Quantum Physics