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[SOLVED] Relativistc probability current
I've got two formulae here and I'm not sure how you get from the first to the second:
\textbf{j}(\textbf{x},t) = Re[\Psi^{*}(x,t)(-i/m)\nabla\Psi(x,t)]
= \frac{-i}{2m}[\Psi^{*}(\nabla\Psi) - (\nabla\Psi^{*})\Psi]
Can anyone suggest a relationship I need to bridge the gap? Thanks.
Homework Statement
I've got two formulae here and I'm not sure how you get from the first to the second:
\textbf{j}(\textbf{x},t) = Re[\Psi^{*}(x,t)(-i/m)\nabla\Psi(x,t)]
= \frac{-i}{2m}[\Psi^{*}(\nabla\Psi) - (\nabla\Psi^{*})\Psi]
Can anyone suggest a relationship I need to bridge the gap? Thanks.