Uploaded November 2022 | Updated September 2026, 1 day ago
A quantum particle moving inside a diamond billiard — a cavity bounded by four disks of the same radius centered at the vertices of a square. (The system is strongly chaotic in the classical limit.) The time-evolution of the particle's probability density, obtained by numerically solving the time-dependent Schrödinger equation, is shown for two different initial conditions.
A quantum particle moving inside a diamond billiard — a cavity bounded by four disks of the same radius centered at the vertices of a square. (The system is strongly chaotic in the classical limit.) The time-evolution of the particle's probability density, obtained by numerically solving the time-dependent Schrödinger equation, is shown for two different initial conditions.
![Quantum Fractals [QBE Ep. 3]](https://i.ytimg.com/vi/_iHbpTirOS4/mqdefault.jpg "Quantum Fractals [QBE Ep. 3]
Episode 3 of Quantum on the Back of an Envelope [QBE].
🔗 Watch the full series here: https://www.youtube.com/playlist?list=PLIGRVb L3EpDzApE5EnAOYyTAyagvi1W
In this episode of Quantum on the Back of an Envelope, we explore quantum fractals through one of the simplest quantum-mechanical systems: the particle in a box. The fractal wave function discussed here is based on the paper: M. V. Berry, Quantum fractals in boxes, J. Phys. A: Math. Gen. 29, 6617 (1996).")
![Quantum Zeno Effect [QBE Ep. 4]](https://i.ytimg.com/vi/lgYDb7gKhKM/mqdefault.jpg "Quantum Zeno Effect [QBE Ep. 4]
Episode 4 of Quantum on the Back of an Envelope [QBE].
🔗 Watch the full series here: https://www.youtube.com/playlist?list=PLIGRVb L3EpDzApE5EnAOYyTAyagvi1W
In this episode of Quantum on the Back of an Envelope, we explore how frequent observations more precisely, projective measurements can dramatically alter the time evolution of a quantum system, and in some cases even freeze it altogether. This fascinating phenomenon is known as the quantum Zeno effect.")
