User talk:Hairr

MERRY XMAS EVE
06:40, December 24, 2011 (UTC)
 * * me lols at ty's signature blending in with background* 06:41, December 24, 2011 (UTC)

End of the year...?
Hi there. This message has been copypasted on several other users' talk pages, so please do not be surprised if you see it somewhere else. I'm doing an end of year slideshow-video-thing based on the one the Pirates of the Caribbean wiki made, and as if possible I would like you to share any highlights of the year, funny moments that you haven't forgotten (they had to happen this year), and a paragraph about how you feel the year went, in a sort of "looking back" style. If you do not want to participate in this for any reason, it is completely your choice and I am in no way pressing you to do this. If you have any suggestions or concerns about this, please do not hesitate to post them on my talk page in the form of a reply. 09:15, December 25, 2011 (UTC)

Transparency
Hellooo, could you please add transparency to File:Reaper.png? . 13:14, December 25, 2011 (UTC)

From now on, I'll just pester everyone's talk page until people start leaving descriptive reasons in the cleanup template...
Hi, you added the cleanup template to team cape with the reasoning Information Outdated. Can you please elaborate? I failed to find outdated info in a quick skim through the page (note that lack of information is not what a cleanup template is for). Thanks, 07:55, December 27, 2011 (UTC)

*adds a new topic or something*
03:34, December 28, 2011 (UTC)

Emotes template
Hey, I've removed the 'Transform' emote from the emotes template firsty, because the emotes template is only for emotes on the emotes list and secondly, there is an article about it here ;) --Nialexan 23:59, December 28, 2011 (UTC)

hi
You should have a talk with 71.53.58.126, his edit could very well be a good faith fix of what he sees as an error in our guide. The warning for vandalism should never be used if there is doubt, it is quite insulting to those editing in good faith. Merry Xmas and Happy New Year. --Degenret01 07:02, December 29, 2011 (UTC)

Nub Ty didn't post on your talk to say you are a chatmod
You're a chatmod now. 01:08, December 31, 2011 (UTC)

WATH
That counts as (minor) spam.

$$\sqrt2 = \frac{2}{\sqrt2}$$ 18:15, January 1, 2012 (UTC)

It's not math; it's physics ;)

Historical background and development
Following Max Planck's quantization of light (see black body radiation), Albert Einstein interpreted Planck's quanta to be photons, particles of light, and proposed that the energy of a photon is proportional to its frequency, one of the first signs of wave–particle duality. Since energy and momentum are related in the same way as frequency and wavenumber in special relativity, it followed that the momentum p of a photon is proportional to its wavenumber k.


 * $$p = \frac{h}{\lambda} = \hbar k$$

Louis de Broglie hypothesized that this is true for all particles, even particles such as electrons. He showed that, assuming that the matter waves propagate along with their particle counterparts, electrons form standing waves, meaning that only certain discrete rotational frequencies about the nucleus of an atom are allowed. These quantized orbits correspond to discrete energy levels, which reproduced the old quantum condition.

Following up on these ideas, Schrödinger decided to find a proper wave equation for the electron. He was guided by William R. Hamilton's analogy between mechanics and optics, encoded in the observation that the zero-wavelength limit of optics resembles a mechanical system — the trajectories of light rays become sharp tracks that obey Fermat's principle, an analog of the principle of least action. A modern version of his reasoning is reproduced below. The equation he found is:


 * $$i\hbar \frac{\partial}{\partial t}\Psi(\bold{r},\,t)=-\frac{\hbar^2}{2m}\nabla^2\Psi(\bold{r},\,t) + V(\bold{r})\Psi(\bold{r},\,t).$$

Using this equation, Schrödinger computed the hydrogen spectral series by treating a hydrogen atom's electron as a wave Ψ(x, t), moving in a potential well V, created by the proton. This computation accurately reproduced the energy levels of the Bohr model.

However, by that time, Arnold Sommerfeld had refined the Bohr model with relativistic corrections. Schrödinger used the relativistic energy momentum relation to find what is now known as the Klein–Gordon equation in a Coulomb potential (in natural units):


 * $$\left(E + {e^2\over r} \right)^2 \psi(x) = - \nabla^2\psi(x) + m^2 \psi(x).$$

He found the standing waves of this relativistic equation, but the relativistic corrections disagreed with Sommerfeld's formula. Discouraged, he put away his calculations and secluded himself in an isolated mountain cabin with a lover.

While at the cabin, Schrödinger decided that his earlier non-relativistic calculations were novel enough to publish, and decided to leave off the problem of relativistic corrections for the future. He put together his wave equation and the spectral analysis of hydrogen in a paper in 1926. The paper was enthusiastically endorsed by Einstein, who saw the matter-waves as an intuitive depiction of nature, as opposed to Heisenberg's matrix mechanics, which he considered overly formal.

The Schrödinger equation details the behaviour of ψ but says nothing of its nature. Schrödinger tried to interpret it as a charge density in his fourth paper, but he was unsuccessful. In 1926, just a few days after Schrödinger's fourth and final paper was published, Max Born successfully interpreted ψ as a quantity related to the probability amplitude, which is equal to the squared magnitude of ψ. Schrödinger, though, always opposed a statistical or probabilistic approach, with its associated discontinuities—much like Einstein, who believed that quantum mechanics was a statistical approximation to an underlying deterministic theory— and never reconciled with the Copenhagen interpretation. 18:25, January 1, 2012 (UTC)