Quantum harmonic oscillator Updated 2025-07-16
We get the time-independent Schrödinger equation by substituting this 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.
Quantum tunnelling Updated 2025-07-16
Examples:
- flash memory uses quantum tunneling as the basis for setting and resetting bits
- alpha decay is understood as a quantum tunneling effect in the nucleus
Schrödinger equation solution for the hydrogen atom Updated 2025-07-16
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 major spectral line of the hydrogen atom by taking the difference between energy levels
The explicit solution can be written in terms of spherical harmonics.
Solutions for the Schrodinger equation with multiple particles Updated 2025-07-16
Bibliography:
- Quantum Mechanics for Engineers by Leon van Dommelen (2011) "5. Multiple-Particle Systems"
Two-state quantum system Updated 2025-07-16
Discrete quantum system model that can model both spin in the Stern-Gerlach experiment or photon polarization in polarizer.
Dirac equation solution for the hydrogen atom Updated 2025-07-16
Predicts fine structure.
Bibliography:
How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics by Dietterich Labs (2018)
Source. Erase SSD securely Updated 2025-07-16
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
Correlation between sofware engineers and Asian fetish Updated 2025-07-16
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.
The correlation between software engineers and Buddhism Updated 2025-07-16
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:
- www.catb.org/~esr/writings/unix-koans/ "The Unix Koans of Master Foo - Rootless Root (无根的根)" by the legendary Eric Steven Raymond is notable
- thecodelesscode.com/ "The Codeless Code" by anonymous Qi.
- canonical.org/~kragen/tao-of-programming.html
- wiki.c2.com/?MysticalProgrammingKoans
- rubykoans.com/ even evil programming languages adopt them!
- The Zen of Python
Another thing that points the correlation out is the existence of wattsalan.github.io/ on a
github.io about Alan Watts. Don't repeat yourself Updated 2025-07-16
Single electron double slit experiment Updated 2025-07-16
Institutional video about the 1974 single electron experiment by Merli, Missiroli, Pozzi from the University of Bologna.
Then actually show the result live on a television screen, where you see the interference patterns only at higher electron currents, and then on photographic film.
This was elected "the most beautiful experiment" by readers of Physics World in 2002.
Jim Simons Updated 2025-07-16
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.
Jim Simons in 2007
. Siemens spinoff Updated 2025-07-16
Long-read DNA sequencing Updated 2025-07-16
Satoshi Dice Updated 2025-07-16
Claims provably fair. satoshidice.com/fair clarifies what that means: they prove fairness by releasing a hash of the seed before the bets, and the actual seed after the bets.
Chemical vapor deposition Updated 2025-07-16
Photolithography Updated 2025-07-16
Scientific Autobiography by Max Planck translated by Frank Gaynor (1949) Updated 2025-07-16
Published as Scientific Autobiography and Other Papers by Max Planck translated by Frank Gaynor (1949) which also contained other papers.
This section refers just to the translation of Scientific autobiography by Max Planck (1948).
SVG tutorial Updated 2025-07-16
Join two SVG side-by-side from the command line Updated 2025-07-16
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