Appears directly on Schrödinger equation! And in particular in the time-independent Schrödinger equation.
The first type of device that allowed sending Morse code without wires, as opposed to the wired electrical telegraph that previously existed.
Wireless voice transmission came about with modulation.
You can either verify your sending domain by adding 3 DNS records.
Saw the email on Gmail, but Microsoft Outlook did put it into junk though. Yahoo mail also worked fine.
Time reversibility of classical mechanics by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Considering e.g. Newton's laws of motion, you take a system that is a function of time , e.g. the position of many point particles, and then you reverse the speeds of all particles, then is a solution to that.
Elements of the orthogonal group have determinant plus or minus one by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
All groups are isomorphic to a subgroup of the symmetric group by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
State initialization (quantum computing) by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Best mathematical explanation: Section "Spin comes naturally when adding relativity to quantum mechanics".
Physics from Symmetry by Jakob Schwichtenberg (2015) chapter 3.9 "Elementary particles" has an amazing summary of the preceding chapters the spin value has a relation to the representations of the Lorentz group, which encodes the spacetime symmetry that each particle observes. These symmetries can be characterized by small integer numbers:As usual, we don't know why there aren't elementary particles with other spins, as we could construct them.
Schrödinger equation for a free one dimensional particle by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Schrödinger equation for a one dimensional particle with . The first step is to calculate the time-independent Schrödinger equation for a free one dimensional particle
Then, for each energy , 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.
Solutions for the Schrodinger equation with multiple particles by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Bibliography:
- Quantum Mechanics for Engineers by Leon van Dommelen (2011) "5. Multiple-Particle Systems"
The correlation between software engineers and Buddhism by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
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.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
. There are unlisted articles, also show them or only show them.