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• W3104808119 startingPage "248" @default.
• W3104808119 abstract "We define and study the probability current and the Hamiltonian operator for a fully general set of Dirac matrices in a flat spacetime with affine coordinates, by using the Bargmann-Pauli hermitizing matrix. We find that with some weak conditions on the affine coordinates, the current, as well as the spectrum of the Dirac Hamiltonian, thus all of quantum mechanics, are independent of that set. These results allow us to show that the tensor Dirac theory, which transforms the wave function as a spacetime vector and the set of Dirac matrices as a third-order affine tensor, is physically equivalent to the genuine Dirac theory, based on the spinor transformation. The tensor Dirac equation extends immediately to general coordinate systems, thus to non-inertial (e.g. rotating) coordinate systems." @default.
• W3104808119 created "2020-11-23" @default.
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• W3104808119 date "2008-06-01" @default.
• W3104808119 modified "2023-09-27" @default.
• W3104808119 title "Dirac equation: representation independence and tensor transformation" @default.
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• W3104808119 doi "https://doi.org/10.1590/s0103-97332008000200007" @default.
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