The Pauli Principle and Pair Creation/Annihilation

Abstract

The field variable representing a single body in quantum mechanics is the wave function Ψ(x), whose absolute square is interpreted as the probability density for locating a particle at the place x. The extension to many particles of matter leads to the many-body wave function Ψ, depending on the wave functions of the individual bodies, Ψ ₁(x ₁), Ψ ₂(x ₂), ...,Ψ _n (x _n ), for an n-body system of matter, where x _n denotes the location of the n th body.