I don't think that is what is normally called "ball lightning", but it could be some other anomalous electrostatic discharge from the storm.
The videos I have seen which purport to show ball lighting show a small spot of light that moves very fast between clouds or from the clouds to the...
Thanks for the advice. I just started looking at Ha solar filters so I haven't really decided what to go with. The daystar filters look very nice, but you definitely pay a premium on them... $10000 for 0.3A :))
Currently, I don't, but I have been thinking about getting an Ha setup for my 80mm and a white light filter for the 8" from 1000 oaks optical. I've heard many good things about their products. Here are the links below.
http://thousandoaksoptical.com/shop/solar-filters/full-aperture-solarlite/...
Nice choice, Skywatcher has been known to put out some good equipment for a reasonable price. I actually just purchased my first refractor a few weeks ago: a Skywatcher esprit 80mm. But of course, I haven't had a clear night since I bought it!:frown:
Yes, that was a typo.
These should be fixed now. I was originally doing the derivation with dimensionless variables but then later switched to dimensionful variables, but forgot to change this in the article.
You're right that I never proved that using Planck's constant yields the correct discritization of the space space. Rather, I assumed it a priori as a reasonable guess which yields the right answer. It's also true that dividing the volume by Planck's constant doesn't really mean anything...
Just to mention, If you are running Windows 10, it comes with a built in Linux subsystem that you can turn on very easily. I've been using it for over a year to compile Python and C++ code with no problems.
https://docs.microsoft.com/en-us/windows/wsl/install-win10
The chemical potential of an ideal gas is a function of ##N##, ##V##, and ##T## or simply ##P## and ##T##.
$$\mu=kT\ln\left(\frac{\lambda^{3}N}{V}\right)=kT\ln\left(\frac{\lambda^{3}P}{kT}\right)$$
where ##\lambda=h/\sqrt{2\pi mkT}##
This is generally justified a priori by stating that there is no directional preference in the momentum, so the points are uniformly distributed on the sphere.
You may be right. I think I have heard of people trying to prove the a priori arguments given and they always fail miserably.