Cython Updated 2025-07-16
Position representation Updated 2025-07-16
A way to write the wavefunction such that the position operator is:i.e., a function that takes the wavefunction as input, and outputs another function:
If you believe that mathematicians took care of continuous spectrum for us and that everything just works, the most concrete and direct thing that this representation tells us is that:
the probability of finding a particle between and at time
equals:
Quantum LC circuit Updated 2025-07-16
A quantum version of the LC circuit!
TODO are there experiments, or just theoretical?
Raspberry Pi 3 Updated 2025-07-16
SoC: BCM2837
Serial from cat /proc/cpuinfo: 00000000c77ddb77
so the solution is:
We notice that the solution has continuous spectrum, since any value of can provide a solution.
Fermat's last theorem Updated 2025-07-16
A generalization of the Pythagorean triple infinity question.
Ladder operator Updated 2025-07-16
The operators are a natural guess on the lines of "if p and x were integers".
And then we can prove the ladder properties easily.
The commutator appear in the middle of this analysis.
Omniscient debugging Updated 2025-07-16
What it adds on top of reverse debugging: not only can you go back in time, but you can do it instantaneously.
Or in other words, you can access variables from any point in execution.
TODO implementation? Apparently Pernosco is an attempt at it, though proprietary.

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