Professor M does Science | What happens after a quantum measurement? @ProfessorMdoesScience | Uploaded June 2020 | Updated October 2024, 1 hour ago.
In this video we study the time evolution of a quantum particle after its position is measured.

📚Time evolution in quantum mechanics is governed by the Schrödinger equation, and here we use it to study the time evolution of a quantum particle in an infinite square well potential. We first look at a superposition state made of two energy eigenstates, which shows periodic oscillations of the probability density of the particle. We then look at how a quantum particle evolves in time after it is found to be at a certain position. We find that the wave function rapidly spreads so that at a later time the particle could be anywhere inside the box with similar probability.

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⏮️ BACKGROUND
Infinite square well potential: youtu.be/pbZN8Pd8kac
Schrödinger equation: youtu.be/CKpx9hkQ3HM
Wave mechanics: youtube.com/playlist?list=PL8W2boV7eVfnHHCwSB7Y0jtvyWkN49UaZ

👩‍💻 GITHUB
Explore the time evolution of wave functions yourself: nbviewer.jupyter.org/github/profmscience/1d-potentials/blob/master/infinite-square-well.ipynb

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Director and writer: BM
Producer and designer: MC