Pauli exclusion principle proof

00:08 The four (4) quantum numbers
01:00 Antisymmetry of fermions
02:19 Spin eigenfunctions α and β
03:00 "Spin part" of wavefunction
04:25 "Spatial part" of wavefunction
06:03 Assume electrons in different orbitals
07:56 Show that spatial part is anti-symmetric
10:03 Write spatial part as 2 × 2 determinant
10:30 Evaluation of 2 × 2 determinants
11:20 Write total wavefunction as product of spatial and spin parts
12:17 Assume two (different) electron orbitals merge into one
13:44 Show that wavefunction becomes 0
Proof of the Pauli exclusion principle, that two (2) electrons with the same spin can not simultaneously occupy the same orbital. Note that Wolfgang Pauli was awarded the 1945 Nobel Prize in Physics.
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