1. ### An initial to general state problem (QM Help)

Ok, working on it a bit more I think I figured it out (amazing what taking a break for dinner may do). So I have the unnormalized eigenvectors. If I normalize them I should wind up with: \left|s_1\right> = \frac{1}{\sqrt2}\left(\begin{array}{c}0\\1\\-1\end{array}\right)...
2. ### An initial to general state problem (QM Help)

1. A 3 level system starts at time t = 0 in the state \left|\psi_0\right> = \frac{1}{\sqrt2} \left(\begin{array}{cc}1\\1\\0\end{array}\right) The Hamiltonian is H = 3\left(\begin{array}{ccc}1&0&0\\0&1&1\\0&1&1\end{array}\right) If \hbar = 1 find the state \left|\psi_t\right> of the...
3. ### Multiple Integral question

It has been a long while since I've done any multiple integral stuff and I must say this question posed to me has me stumped, even though I suspect it is trivial. 1. Find the volume of the of the region bounded by the first octant and x+z=3 and y+5z=15 I figure since it is in the first...
4. ### Apophis Strikes Earth: Odds still 1 in 45,000

Indeed! I'd say the odds are less than 1 in 45,000 that that would happen.
5. ### Apophis Strikes Earth: Odds still 1 in 45,000

This is sort of in response to an article Ivan posted in the locked Apophis thread: http://www.physorg.com/news127499715.html [Broken] The above is the url from Ivan. Below are urls to the contrary http://www.theregister.co.uk/2008/04/16/esa_german_schoolboy_apophis_denial/?rss...
6. ### My idea for Space Travel

Well if I recall there was the idea of a gravitational tractor of sorts. You place a massive object with propulsion near the sun and slowly set it off in the direction you wish for it to go. The object moves and due to gravity the sun moves with it. This of course is incredibly slow and takes...
7. ### Black Hole Evaporation

This is just like that other thread! :) As a black hole evaporates it gets hotter and hotter and radiates more and more until at roughly the planck size it just evaporates away (hence the name of the process) into a shower of high energy photons and other particles.
8. ### How does black hole evaporation end?

That is why I am skeptical there will be enough energy!
9. ### How does black hole evaporation end?

Might being the operative word. I'm a bit skeptical the energies will be sufficiently high enough to test black hole evaporation.
10. ### No magnetic fields?

The problem per se arises when you define A as a gradient of some scalar. This would be incompatible with Ampere's law mainly because the curl of a gradient is always zero. So in this case you are specifically setting B = 0 from the start essentially.
11. ### Can virtual particles appear ANYWHERE?

I would beg to differ. The evidence comes from the calculations. I suppose if you wish to get technical I will parse my language and say it provides indirect evidence since by their nature virtual particles cannot be directly observed. However, as I was taught, they arise from some of the...
12. ### How does black hole evaporation end?

From what I recall the black hole continues to shrink until it reaches an effective radius on par with the planck length, at which point, as the name evaporation implies, it just 'explodes' into a lot of energy via photons and leptons, and it does this because I suppose as you said, it becomes...
13. ### Can virtual particles appear ANYWHERE?

Yes, the Casimir effect provides good evidence that virtual particles do in fact occur.
14. ### Proof That the Universe is Electrically Neutral

Just out of curiosity what sources are there for this, and just what do you mean by a slight imbalance? i.e how slight? 1 part per quintillion?
15. ### Why our time dimension is about to become space-like

Huh, that is weird. Just when you think you've heard everything! It is an interesting idea but unless there is someway to actually test and verify it is correct it is just a curious exercise :tongue2: