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- W3098068170 abstract "We study a one-component quaternionic wave equation which is relativistically covariant. Bilinear forms include a conserved four-vector current and an antisymmetric second rank tensor. Waves propagate within the light cone and there is a conserved quantity which looks like helicity. The principle of superposition is retained in a slightly altered manner. External potentials can be introduced in a way that allows for gauge invariance. There are some results for scattering theory and for two-particle wave functions as well as the beginnings of second quantization. However, we are unable to find a suitable Lagrangian or an energy-momentum tensor." @default.
- W3098068170 created "2020-11-23" @default.
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- W3098068170 date "2006-12-01" @default.
- W3098068170 modified "2023-09-27" @default.
- W3098068170 title "Relativistic quaternionic wave equation" @default.
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- W3098068170 doi "https://doi.org/10.1063/1.2397555" @default.
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