Ciro Santilli @cirosantilli  40

Double cover of $SO(3)$.

Isomorphic to the quaternions.

A subset of Spacetime diagram.

The key insights that it gives are:

We select for the general Equation "Schrodinger equation":giving the full explicit partial differential equation:

The corresponding time-independent Schrödinger equation for this equation is:

Schrödinger equation for a one dimensional particle with $V=0$. The first step is to calculate the time-independent Schrödinger equation for a free one dimensional particle

Then, for each energy $E$, from the discussion at Section "Solving the Schrodinger equation with the time-independent Schrödinger equation", the solution is:Therefore, we see that the solution is made up of infinitely many plane wave functions.

This equation is a subcase of Equation "Schrödinger equation for a one dimensional particle" with $V(x)=x^2$.

We get the time-independent Schrödinger equation by substituting this $V$ into Equation "time-independent Schrödinger equation for a one dimensional particle":

Now, there are two ways to go about this.

The first is the stupid "here's a guess" + "hey this family of solutions forms a complete basis"! This is exactly how we solved the problem at Section "Solving partial differential equations with the Fourier series", except that now the complete basis are the Hermite functions.

The second is the much celebrated ladder operator method.

Examples:

Is the only atom that has a closed form solution, which allows for very good predictions, and gives awesome intuition about the orbitals in general.

It is arguably the most important solution of the Schrodinger equation.

In particular, it predicts:

The explicit solution can be written in terms of spherical harmonics.

Bibliography:

Discrete quantum system model that can model both spin in the Stern-Gerlach experiment or photon polarization in polarizer.

Also known in quantum computing as a qubit :-)

Predicts fine structure.

Bibliography:

You can't just shred individual sSD files because SSD writes only at large granularities, so hardware/drivers have to copy stuff around all the time to compact it. This means that leftover copies are left around everywhere.

What you can do however is to erase the entire thing with vendor support, which most hardware has support for. On hardware encrypted disks, you can even just erase the keys:

TODO does shredding the

www.quora.com/Why-do-successful-geeky-white-men-have-Asian-wives-This-seems-to-be-the-norm-in-Silicon-Valley suggests it is just an statistical inevitability.

Ciro Santilli believes that there is a positive correlation between being a software engineer and liking Buddhist-like things.

Maybe it is linked to minimalism and DRY, which software engineers value so greatly.

Even Ciro had to try an unoriginal Buddhist joke intro in one of this Stack Overflow answers.

Ciro also feels that his "minimal reproducible example" scientific language/concept learning method obsession of breaking things into tiny sub-problems has a strong link with Koans.

Some notable Buddhism/programmer examples:

Another thing that points the correlation out is the existence of wattsalan.github.io/ on a github.io about Alan Watts.

Ciro Santilli's wife, who was frustrated with academia at some point, admires the fact that Simons managed to make infinite money, and then invested back in actual science, e.g. through the Simons Foundation.