Example of a 1D electron momentum density measured by an ACAR measurement.
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The spin angular momentum density is in the z direction and is given by
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Expressions for the energy density and momentum density also take on simple forms:
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For a sinusoidal plane wave propagating along z axis the orbital angular momentum density vanishes.
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Integrating the angular momentum density over a 3d spacetime hypersurface yields the angular momentum tensor about,
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Gadre has been at the forefront of investigating chemical reactivity and weak interactions through the use of molecular electrostatics potentials and momentum densities.
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In the absence of any ( large ) energy-momentum density-flux GR predicts a flat spacetime AKA Minkowski space-time.
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:Gravity couples to the Stress energy tensor which includes energy density, momentum density, energy flux, pressure, and shear stress.
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A measurement with a long slit setup yields a 1D projection of the electron momentum density \ rho ^ { 2 \ gamma } ( \ bold { p } ).
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The timelike component corresponds to energy density ( energy per unit volume ), the mixed spacetime components to momentum density ( momentum per unit volume ), and the purely spacelike parts to 3d stress tensors.