#hilbert space

Friend of mine was like "the logarithmic potential well is so much cooler than the 1/r potential well that we have to live with" (if we lived in 2d we'd use a logarithmic potential well instead, this was basically just a lament about how our 3d world is boring in this one hyperniche way)

So i spent some time writing out the whole Schrodinger Equation for the 2d logarithmic well. I'm sure someone has already solved this (it's an extremely natural case to think about, it's not particularly unreasonable to expect someone to come across this on their own) but i miiight still take a crack at it later.

*Spending Time in Hilbert Space*

I’m quickly going through the PowerPoint from my Hilbert spaces class I have to study. I need to physically sit down on a desk and rewrite all of it to process the content 😣 And I thought I knew the Pythagorean theorem...

i am easily entertained

How dare the Trump White House show a penguin with Trump? There have never been penguins in the Arctic, screamed the outraged jackassing multitude of parrot thinkers. Well, wrong: The last two PENGUINS (PINGUINUS impennis) were strangled to death in Iceland in 1844, as they courageously defended the last egg, which was smashed in the struggle. Yes it was a crime in more ways than one. And it’s…

EINSTEIN’S ERROR: The Multiverse

In 1905, his so-called Wonder Year, Albert Einstein presented a theory of the photoelectric effect. The new idea came in just two lines. However I boldly claim that Einstein’s theory of the photoelectric effect, although crucially correct, was also crucially wrong. I claim that Einstein talked too much. His intuition was not careful enough, and too tied up with old fashion particles. Quantum…