#numerical methods

GEOMETRY IN QUANTUM MECHANICS

Man, what a week. After I had a reunion with ma bae, I got sick, I finished my numerical methods hw, I did some theoretical mechanics exercises and took a QM class, THEN I assisted to the Geometry in Quantum Mechanics Advanced School. I understood some complicated concepts I was not used to like entanglement, Hilbert projective space, group representation and a MASSIVE etcetera. Furthermore, I found a new branch that made me smile for several minutes and gonna change my thesis topic once again hehe. I mean, I don't want to be the confused kiddo who's not able to make a decision, but I want to be sure that my topic is gonna make me feel comfortable every time I have to study something related to it.

I won't say either which is it, but I'll show some stuff at the end of the semester. Dude, am very excited about some decisions I made this week.

During my thesis, researching ways of flow around rocks and ships near the surface of water, I found a set of equations that can be used to model these weirder shapes. One example was the lemon curve, which you saw as the cricket ball simulation I showed earlier. The other is a generalised version of these that allows one to customise the location of bumps on the surface of the solid. The following plots were made in python.

Lemon curves (name courtesy of my fabulous sister @mrunmione) - the shape used to model a cricket ball

Crocodile curves (because they literally look like crocodiles)

Why are they important? ↓

Me: does it give me the function?

Lagrange : no

Me: does it give me close to the function?

*Teacher jokes about us wanting to go home because of how confusing all of this is.*