Probability of Presence Versus $ψ(x,t)^* ψ(x, t)$

Kavli Affiliate: Frank Wilczek

| First 5 Authors: Frank Wilczek, Zara Yu, , ,

| Summary:

Postulating the identification of $psi^*(x, t) psi(x,t)$ with a physical
probability density is unsatisfactory conceptually and overly limited
practically. For electrons, there is a simple, calculable relativistic
correction proportional to $nabla psi^* cdot nabla psi$. In particular,
zeroes of the wave function do not indicate vanishing probability density of
presence. Effects of this kind arise generically in Lagrangian-based theories
implementing the particle concept.

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