Professor M does Science | Bosons and fermions: the symmetrization postulate @ProfessorMdoesScience | Uploaded September 2020 | Updated October 2024, 2 hours ago.
The symmetrization postulate divides all particles in nature between bosons and fermions.

📚 In the video on exchange degeneracy we learn that there are infinitely many states that can mathematically describe a quantum system of many identical particles, but depending on which state we choose we get different predictions from quantum theory. In this video we introduce the symmetrization postulate which resolves this problem by telling us which are the only allowed states. Other consequences of the symmetrization postulate are that all particles in nature are either bosons (with integer spin) or fermions (with half-integer spin), and that two fermions cannot be in the same state, the famous Pauli exclusion principle.

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⏮️ BACKGROUND
Identical particles: youtu.be/1cIl3m-fmnY
Tensor product state spaces: youtu.be/kz3206S2B6Q
Permutation operators: youtu.be/mgqxywZMTjs
Symmetric and antisymmetric states: youtu.be/6pwtOV5mUpo
Exchange degeneracy: youtu.be/-HMZNk6VlZ0

⏭️ WHAT NEXT?
Second quantization: youtube.com/playlist?list=PL8W2boV7eVfnSqy1fs3CCNALSvnDDd-tb

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Director and writer: BM
Producer and designer: MC