Abstract
The following is a direct and general construction, from the field quantities of the electrons and mesons and their derivatives, of a real, symmetrical and gauge-invariant tensor T kl whose divergence to l is — 1 times the four-force f k experienced by the matter. Interpreting T kl as the impulse-energy tensor of the material particles, for the case of no electromagnetic field the energy-momentum density obtained from T k4 is compared with that obtained from treating (ℏ/ i ) (∂/∂x k ) as the energy-momentum operator. Further, in the general case the Hamiltonian of the matter is compared with ∫ T 44 dxdydz . Both times, the two quantities compared agree apart from small modifications.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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