The Group of Permutations and the Exclusion Principle

Abstract

A stationary state of a pair of electrons, without spin and without interaction, is determined by an eigenfunction of the form

$$ \Psi \left( {{q_1},{q_2}} \right) = {\psi _1}\left( {{q_1}} \right){\psi _2}\left( {{q_2}} \right) $$

(29.1)

in which ψ _l and ψ ₂ are the normed eigenfunctions of the single electrons. If E ₁ and E ₂ are their energy values, the energy of the whole system is

$$ E = {E_1} + {E_2} $$

.