Principles of Quantum Mechanics · Problem 20.5

The Dirac Equation — R. Shankar

Physics — Quantum Mechanics · dirac-equation-probability-current

Problem

Derive the continuity equation from the Dirac equation and identify the probability current density j=cψ†αψ\mathbf{j} = c\psi^\dagger \boldsymbol{\alpha} \psi and the probability density ρ=ψ†ψ\rho = \psi^\dagger \psi.

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