Uploaded October 2025 | Updated September 2026, 1 day ago
This video presents a visualization of the wave function for a quantum particle confined in a one-dimensional box. The wave function is shown as a three-dimensional curve, with the axes corresponding to position and to the real and imaginary parts of the wave function.
Starting from the basic setup of a particle trapped between two impenetrable walls, the video introduces the stationary states of the system and then explores a time-dependent superposition of the ground and first excited states.
The presentation aims to provide a clear and intuitive picture of this simple yet fundamental quantum system — one of the many ways to visualize the structure and dynamics of the wave function.
This video presents a visualization of the wave function for a quantum particle confined in a one-dimensional box. The wave function is shown as a three-dimensional curve, with the axes corresponding to position and to the real and imaginary parts of the wave function.
Starting from the basic setup of a particle trapped between two impenetrable walls, the video introduces the stationary states of the system and then explores a time-dependent superposition of the ground and first excited states.
The presentation aims to provide a clear and intuitive picture of this simple yet fundamental quantum system — one of the many ways to visualize the structure and dynamics of the wave function.
![Attractive Potential with No Ground State [QBE Ep. 2]](https://i.ytimg.com/vi/z6HmvZ70S2A/mqdefault.jpg "Attractive Potential with No Ground State [QBE Ep. 2]
Episode 2 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 the strange and fascinating -1/x^2 potential. Despite being attractive and infinitely deep, it has no ground state and therefore no discrete energy spectrum. In a certain regime, the system can be so unstable that it could (theoretically) destroy the universe. No equations just simple dimensional analysis.")
