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Energy density and stress fields in quantum systems

Energy density and stress fields in quantum systems

There has been an enduring interest and controversy about whether or not one can define physically meaningful energy density and stress fields, $e({\bf r})$ and $\sigma_{\alpha \beta}({\bf r})$ in quantum systems. A key issue is kinetic energy since $\frac{1}{2}|\nabla \Psi|^2$ and $-\frac{1}{2}\Psi\nabla^2 \Psi$ lead to different densities, and analogous issues …