Professor M does Science | Infinite square well in quantum mechanics @ProfessorMdoesScience | Uploaded May 2020 | Updated October 2024, 2 hours ago.
In this video we find the energies and wave functions of the infinite square well potential.
๐The infinite square well potential is one of the most iconic problems in quantum mechanics. It can be solved analytically, and the solutions show that the energy in this system can only take discrete values: it is quantized. Parity is a symmetry of the potential, and the wave functions of this system reflect this symmetry: they are sine and cosine functions.
๐ฆ Follow me on Twitter: twitter.com/ProfMScience
โฎ๏ธ BACKGROUND
The postulates of Quantum Mechanics: youtube.com/playlist?list=PL8W2boV7eVfmMcKF-ljTvAJQ2z-vILSxb
Wave mechanics: youtube.com/playlist?list=PL8W2boV7eVfnHHCwSB7Y0jtvyWkN49UaZ
Parity operator: youtu.be/o8l6Yz9EHps
โญ๏ธ WHAT NEXT?
What happens after a quantum measurement?: youtu.be/CGbv9cVwJL0
๐ฉโ๐ป GITHUB
Explore the wave functions yourself: nbviewer.jupyter.org/github/profmscience/1d-potentials/blob/master/infinite-square-well.ipynb
~
Director and writer: BM
Producer and designer: MC
In this video we find the energies and wave functions of the infinite square well potential.
๐The infinite square well potential is one of the most iconic problems in quantum mechanics. It can be solved analytically, and the solutions show that the energy in this system can only take discrete values: it is quantized. Parity is a symmetry of the potential, and the wave functions of this system reflect this symmetry: they are sine and cosine functions.
๐ฆ Follow me on Twitter: twitter.com/ProfMScience
โฎ๏ธ BACKGROUND
The postulates of Quantum Mechanics: youtube.com/playlist?list=PL8W2boV7eVfmMcKF-ljTvAJQ2z-vILSxb
Wave mechanics: youtube.com/playlist?list=PL8W2boV7eVfnHHCwSB7Y0jtvyWkN49UaZ
Parity operator: youtu.be/o8l6Yz9EHps
โญ๏ธ WHAT NEXT?
What happens after a quantum measurement?: youtu.be/CGbv9cVwJL0
๐ฉโ๐ป GITHUB
Explore the wave functions yourself: nbviewer.jupyter.org/github/profmscience/1d-potentials/blob/master/infinite-square-well.ipynb
~
Director and writer: BM
Producer and designer: MC