The nature of the Pauli exclusion principle can be illustrated by
supposing that electrons 1 and 2 are in states a and b respectively.
The wavefunction for the two electron system would be
but this wavefunction is unacceptable because the electrons are
identical. To account for this we must use a linear combination
The Pauli exclusion principle is part of one of our most basic
observations of nature: particles of half-integer spin must have
antisymmetric wavefunctions, and particles of integer spin must have
symmetric wavefunctions. |