IGNOU MPH 8 2026 - Derive the current conservation equation from the Dirac equation.&nb

Question

Derive the current conservation equation from the Dirac equation.

19 Jan 2026

Answer :

Word Count : 210

Start with the Dirac equation for a free particle: [ (i\hbar \gamma^\mu \partial_\mu - mc)\psi = 0 ] where ( \gamma^\mu ) are the Dirac gamma matrices, ( \psi ) is the Dirac spinor, ( m ) is the mass, and ( c ) is the speed of light. Take the adjoint of the Dirac spinor: [ \bar{\psi} = \psi^\dagger \gamma^0 ] The adjoint Dirac equation is: [ \bar{\psi}(i\hbar \gamma^\mu \overleftarrow{\partial}_\mu + mc) =

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